Michael Pohst - Author Profile

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Pohst, Michael

Author ID:	pohst.michael-e
Published as:	Pohst, Michael; Pohst, M.; Pohst, Michael E.; Pohst, M. E. more...less
External Links:	MGP · Wikidata · dblp · GND · IdRef

Documents Indexed:	119 Publications since 1973, including 3 Books
	4 Contributions as Editor
Reviewing Activity:	154 Reviews
Biographic References:	1 Publication
Co-Authors:	43 Co-Authors with 91 Joint Publications
	759 Co-Co-Authors

all top 5

Co-Authors

30	single-authored
26	Gaál, István
13	Pethő, Attila
8	Plesken, Wilhelm
6	Buchmann, Johannes A.
6	Daberkow, Mario
6	Fieker, Claus
6	Zassenhaus, Hans Julius
5	Leprévost, Franck
5	Pauli, Sebastian
4	Fincke, Ulrich
3	Diaz y Diaz, Francisco
3	Graf von Schmettow, Johannes
3	Jaulent, Jean-François
3	Schöpp, Andreas M.
3	Soriano-Gafiuk, Florence
2	Halbritter, Ulrich
2	Hess, Florian
2	Klüners, Jürgen
2	Schörnig, Martin
2	Wagner, Marcus M.
2	Wildanger, Klaus
1	Bernard, Nicolas
1	Bertók, Csanád
1	Bircan, Nihal
1	Bosma, Wieb
1	Haddad, Nasser
1	Hajdu, Lajos
1	Jüntgen, Max
1	Jurk, Andreas
1	Kovács, Tünde
1	Martinet, Jacques
1	Méndez Omaña, José
1	Nicolae, Florin
1	Olajos, Péter
1	Pohst, Maximilian C.
1	Roegner, Katherine Sue
1	Schielzeth, Daniel
1	Schwarz, Albert S.
1	Uzunkol, Osmanbey
1	Weiler, Peter
1	Williams, Hugh Cowie
1	Yun, David Y. Y.
1	Zimmer, Horst Günter

all top 5

Serials

25	Mathematics of Computation
18	Journal of Number Theory
13	Experimental Mathematics
9	Journal of Symbolic Computation
4	Acta Arithmetica
3	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3	Journal für die Reine und Angewandte Mathematik
3	Publicationes Mathematicae Debrecen
3	Journal de Théorie des Nombres de Bordeaux
2	Functiones et Approximatio. Commentarii Mathematici
1	Archiv der Mathematik
1	Computing
1	Journal of Algebra
1	Mathematische Nachrichten
1	Mathematica Slovaca
1	SIGSAM Bulletin
1	JP Journal of Algebra, Number Theory and Applications
1	International Journal of Pure and Applied Mathematics
1	Bulletin of the American Mathematical Society
1	DMV Seminar
1	Encyclopedia of Mathematics and Its Applications
1	Lecture Notes in Computer Science
1	Journal of Mathematical Cryptology

all top 5

Fields

118	Number theory (11-XX)
12	Computer science (68-XX)
11	Field theory and polynomials (12-XX)
6	Group theory and generalizations (20-XX)
4	Commutative algebra (13-XX)
2	General and overarching topics; collections (00-XX)
2	Algebraic geometry (14-XX)
2	Numerical analysis (65-XX)
2	Operations research, mathematical programming (90-XX)
2	Information and communication theory, circuits (94-XX)
1	History and biography (01-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Convex and discrete geometry (52-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

104 Publications have been cited 1,070 times in 688 Documents	Cited by ▼	Year ▼
Algorithmic algebraic number theory. Zbl 0685.12001 Pohst, M.; Zassenhaus, Hans	139	1989
Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Zbl 0556.10022 Fincke, U.; Pohst, M.	120	1985
KANT V4. Zbl 0886.11070 Daberkow, M.; Fieker, C.; Klüners, J.; Pohst, M.; Roegner, K.; Schörnig, M.; Wildanger, K.	99	1997
On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005 Pohst, Michael	35	1982
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. Zbl 0467.10022 Pohst, Michael	33	1981
On the indices of multiquadratic number fields. Zbl 1255.11052 Pethő, Attila; Pohst, Michael E.	31	2012
Computational algebraic number theory. Zbl 0817.11063 Pohst, Michael E.	27	1993
A modification of the LLL reduction algorithm. Zbl 0629.10001 Pohst, M.	22	1987
A procedure for determining algebraic integers of given norm. Zbl 0541.12001 Fincke, U.; Pohst, M.	22	1983
Simultaneous representation of integers by a pair of ternary quadratic forms – with an application to index form equations in quartic number fields. Zbl 0853.11023 Gaál, István; Pethö, Attila; Pohst, Michael	21	1996
Power integral bases in orders of composite fields. Zbl 1020.11064 Gaál, István; Olajos, Péter; Pohst, Michael	20	2002
Regulatorabschätzungen für total reelle algebraische Zahlkörper. Zbl 0366.12011 Pohst, Michael	19	1977
A table of quintic number fields. Zbl 0822.11087 Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco	18	1994
On the resolution of index form equations in quartic number fields. Zbl 0808.11023 Gaál, István; Pethö, Attila; Pohst, Michael	17	1993
On the resolution of relative Thue equations. Zbl 0985.11070 Gaál, István; Pohst, Michael	16	2002
On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. Zbl 0853.11026 Gaál, István; Pethö, Attila; Pohst, Michael	15	1995
On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. Zbl 0873.11025 Gaál, István; Pohst, Michael	15	1996
Constructing integral lattices with prescribed minimum. I. Zbl 0581.10014 Plesken, Wilhelm; Pohst, M.	15	1985
The minimum discriminant of totally real octic fields. Zbl 0719.11079 Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco	13	1990
Power integral bases in a parametric family of totally real cyclic quintics. Zbl 0899.11064 Gaál, István; Pohst, Michael	12	1997
Computing power integral bases in quartic relative extensions. Zbl 0993.11055 Gaál, István; Pohst, Michael	12	2000
On the resolution of index form equations in biquadratic number fields. I. Zbl 0726.11022 Gaál, I.; Pethö, A.; Pohst, M.	12	1991
Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper. Zbl 0314.12014 Pohst, Michael	12	1975
On the indices of biquadratic number fields having Galois group \(V_ 4\). Zbl 0724.11049 Gaál, I.; Pethö, A.; Pohst, M.	11	1991
On effective computation of fundamental units. II. Zbl 0493.12005 Pohst, Michael; Weiler, Peter; Zassenhaus, Hans	11	1982
On solving relative norm equations in algebraic number fields. Zbl 0854.11076 Fieker, C.; Jurk, A.; Pohst, M.	9	1997
The minimum discriminant of seventh degree totally real algebraic number fields. Zbl 0373.12006 Pohst, M.	9	1977
On maximal finite irreducible subgroups of GL(n, Z). I: The five and seven dimensional cases. Zbl 0359.20006 Plesken, Wilhelm; Pohst, Michael	9	1977
On maximal finite irreducible subgroups of GL(n, Z). II: The six dimensional case. Zbl 0359.20007 Plesken, Wilhelm; Pohst, Michael	9	1977
On effective computation of fundamental units. I. Zbl 0493.12004 Pohst, Michael; Zassenhaus, Hans	9	1982
Enumeration of quartic fields of small discriminant. Zbl 0788.11060 Buchmann, Johannes; Ford, David; Pohst, Michael	8	1993
On computing subfields. Zbl 0886.11072 Klüners, Jürgen; Pohst, Michael	8	1997
On the resolution of index form equations in biquadratic number fields. II. Zbl 0726.11023 Gaál, I.; Pethö, A.; Pohst, M.	8	1991
Eine Regulatorabschätzung. Zbl 0381.12006 Pohst, Michael	8	1978
Diophantine equations over global function fields. I: The Thue equation. Zbl 1157.11011 Gaál, István; Pohst, Michael	8	2006
Computing a lattice basis from a system of generating vectors. Zbl 1209.11108 Buchmann, Johannes; Pohst, Michael	7	1989
Computations with relative extensions of number fields with an application to the construction of Hilbert class fields. Zbl 0930.11089 Daberkow, M.; Pohst, M.	7	1995
On lattices over number fields. Zbl 0930.11090 Fieker, C.; Pohst, M. E.	7	1996
Computing the multiplicative group of residue class rings. Zbl 1013.11073 Heß, Florian; Pauli, Sebastian; Pohst, Michael E.	7	2003
On computing isomorphisms of equation orders. Zbl 0632.12001 Pohst, M.	7	1987
Diophantine equations over global function fields. II: \(R\)-integral solutions of Thue equations. Zbl 1142.11019 Gaál, István; Pohst, Michael	7	2006
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088 Bosma, Wieb; Pohst, Michael	6	1991
On the computation of the values of zeta functions of totally real cubic fields. Zbl 0727.11050 Halbritter, U.; Pohst, M.	6	1990
An effective number geometric method of computing the fundamental units of an algebraic number field. Zbl 0374.12001 Pohst, Michael; Zassenhaus, Hans	6	1977
Three principal tasks of computational algebraic number theory. Zbl 0694.12002 Pohst, M. E.	6	1989
On maximal finite irreducible subgroups of GL(n,Z). V: The eight dimensional case and a complete description of dimensions less than ten. Zbl 0431.20041 Plesken, Wilhelm; Pohst, Michael	6	1980
A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060 Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence	6	2005
On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). Zbl 1309.11088 Fieker, Claus; Gaál, István; Pohst, Michael	5	2013
On lattice bases with special properties. Zbl 0972.11060 Halbritter, Ulrich; Pohst, Michael E.	5	2000
Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. Zbl 0559.12003 Pohst, Michael; Zassenhaus, Hans	5	1985
Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern. Zbl 0302.12004 Pohst, M.	5	1975
On the computation of unit groups and class groups of totally real quartic fields. Zbl 0714.11002 Buchmann, J.; Pohst, M.; Schmettow, J.v.	5	1989
On computing non-Galois cubic global function fields of prescribed discriminant in characteristic \(>3\). Zbl 1249.11112 Pohst, Michael E.	5	2011
On solving systems of algebraic equations via ideal bases and elimination theory. Zbl 0489.68034 Pohst, Michael E.; Yun, David Y. Y.	5	1981
On multidimensional Diophantine approximation of algebraic numbers. Zbl 1419.11097 Pethő, Attila; Pohst, Michael E.; Bertók, Csanád	4	2017
The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. Zbl 0773.11067 Ford, David; Pohst, Michael	4	1992
Algebraic algorithms. (Algebraische Algorithmen. Herausgg. von Michael Pohst.) Zbl 0958.11080 Pethö, Attila	4	1999
Mehrklassige Geschlechter von Einheitsformen in total reellen algebraischen Zahlkörpern. Zbl 0277.12003 Pohst, Michael	4	1973
Units in some parametric families of quartic fields. Zbl 1116.11090 Leprévost, Franck; Pohst, Michael; Schöpp, Andreas	4	2007
Factoring polynomials over global fields. II. Zbl 1156.11347 Méndez Omaña, José; Pohst, Michael E.	4	2005
Jacobians of genus-2 curves with a rational point of order 11. Zbl 1244.11064 Bernard, Nicolas; Leprévost, Franck; Pohst, Michael	4	2009
Computational aspects of Kummer theory. Zbl 0894.11051 Pohst, M. E.	3	1996
On the computation of Hilbert class fields. Zbl 0910.11058 Daberkow, M.; Pohst, M.	3	1998
On the resolution of index form equations. Zbl 0925.11053 Gaál, I.; Pethö, A.; Pohst, M.	3	1991
On computing fundamental units. Zbl 0810.11065 Pohst, M.	3	1994
Constructing integral lattices with prescribed minimum. II. Zbl 0785.11037 Plesken, W.; Pohst, M.	3	1993
On maximal finite irreducible subgroups of GL(n,Z). I: The five and seven dimensional case. II: The six dimensional case. Zbl 0338.20007 Plesken, Wilhelm; Pohst, Michael	3	1976
On the computation of Hermite-Humbert constants for real quadratic number fields. Zbl 1098.11063 Pohst, Michael E.; Wagner, Marcus	3	2005
Dependency of units in number fields. Zbl 1097.11061 Fieker, Claus; Pohst, Michael E.	3	2006
Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations. Zbl 1243.11120 Gaál, István; Pohst, Michael	3	2010
Factoring polynomials over global fields. I. Zbl 1156.11349 Pohst, Michael E.	3	2005
On maximal finite irreducible subgroups of GL(n,Z). III: The nine dimensional case. Zbl 0431.20039 Plesken, Wilhelm; Pohst, Michael	3	1980
Tables of unit groups and class groups of quintic fields and a regulator bound. Zbl 0957.11058 Pohst, M.; Wildanger, K.	2	1998
On integral basis reduction in global function fields. Zbl 0898.11048 Pohst, M. E.; Schörnig, M.	2	1996
On the resolution of index form equations in dihedral quartic number fields. Zbl 0823.11074 Gaál, István; Pethö, Attila; Pohst, Michael	2	1994
The \(S_5\) extensions of degree 6 with minimum discriminant. Zbl 0921.11052 Ford, David; Pohst, Michael; Daberkow, Mario; Haddad, Nasser	2	1998
Computing invariants of algebraic number fields. Zbl 0892.11040 Pohst, Michael E.	2	1996
The totally real \(A_ 6\) extension of degree 6 with minimum discriminant. Zbl 0799.11052 Ford, David; Pohst, Michael	2	1993
Algorithmic methods in algebra and number theory. Reprinted from the Journal of Symbolic Computation 4, No.1, 1987. Zbl 0671.12001	2	1987
Families of polynomials associated with unicursal modular curves \(X_ 1(l)\) and nontrivial rational points of quotient elliptic curves. (Familles de polynômes liées aux courbes modulaires \(X_1(l)\) unicursales et points rationnels non-triviaux de courbes elliptiques quotient.) Zbl 1126.11321 Leprévost, Franck; Pohst, Michael; Schöpp, Andreas	2	2003
Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante. Zbl 0292.12019 Pohst, Michael	2	1976
On reduction algorithms in non-linear integer mathematical programming. Zbl 0532.90071 Fincke, Ulrich; Pohst, Michael	2	1984
On maximal finite irreducible subgroups of GL(n,Z).IV: Remarks on even dimensions with applications to n=8. Zbl 0431.20040 Plesken, Wilhelm; Pohst, Michael	2	1980
Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Zbl 1103.11002	2	2006
Computation of 2-groups of narrow logarithmic divisor classes of number fields. Zbl 1176.11068 Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence	2	2009
Solving resultant form equations over number fields. Zbl 1214.11042 Gaál, István; Pohst, Michael	2	2008
On real quadratic number fields suitable for cryptography. Zbl 1207.11107 Schielzeth, Daniel; Pohst, Michael E.	2	2005
Diophantine equations over global function fields. III: An application to resultant form equations. Zbl 1233.11036 Gaál, István; Pohst, Michael	2	2008
On the powers of integers and conductors of quadratic fields. Zbl 1274.11161 Bircan, Nihal; Pohst, Michael E.	1	2013
A lower regulator bound for number fields. Zbl 1215.11124 Fieker, Claus; Pohst, Michael E.	1	2008
From class groups to class fields. Zbl 1015.11068 Pohst, Michael E.	1	1999
A practical version of the generalized Lagrange algorithm. Zbl 0857.11067 Buchmann, Johannes; Jüntgen, Max; Pohst, Michael	1	1994
On integral bases in relative quadratic extensions. Zbl 0862.11057 Daberkow, M.; Pohst, M.	1	1996
In memoriam: Hans Zassenhaus (1912-1991). Zbl 0906.01029 Pohst, Michael	1	1994
Computational number theory. Proceedings of the colloquium on computational number theory held at the Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989. Zbl 0722.00004	1	1991
On Legendre’s equation over number fields. Zbl 0980.11020 Pohst, Michael E.	1	2000
A new method of computing fundamental units in algebraic number fields. Zbl 0597.12008 Fincke, U.; Pohst, M.	1	1985
Über biquadratische Zahlkörper gleicher Diskriminante. Zbl 0315.12005 Pohst, Michael	1	1975
A note on index divisors. Zbl 0734.11056 Pohst, M.	1	1991
Computation of integral solutions of a special type of systems of quadratic equations. Zbl 0539.65025 Pohst, Michael	1	1983
On computing integral points of a Mordell curve – the method of Wildanger revisited. Zbl 1465.11237 Gaál, István; Pohst, Maximilian C.; Pohst, Michael E.	1	2021
On multidimensional Diophantine approximation of algebraic numbers. Zbl 1419.11097 Pethő, Attila; Pohst, Michael E.; Bertók, Csanád	4	2017
On computing integral points of a Mordell curve over rational function fields in characteristic \(>3\). Zbl 1309.11088 Fieker, Claus; Gaál, István; Pohst, Michael	5	2013
On the powers of integers and conductors of quadratic fields. Zbl 1274.11161 Bircan, Nihal; Pohst, Michael E.	1	2013
On the indices of multiquadratic number fields. Zbl 1255.11052 Pethő, Attila; Pohst, Michael E.	31	2012
On computing non-Galois cubic global function fields of prescribed discriminant in characteristic \(>3\). Zbl 1249.11112 Pohst, Michael E.	5	2011
Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations. Zbl 1243.11120 Gaál, István; Pohst, Michael	3	2010
Jacobians of genus-2 curves with a rational point of order 11. Zbl 1244.11064 Bernard, Nicolas; Leprévost, Franck; Pohst, Michael	4	2009
Computation of 2-groups of narrow logarithmic divisor classes of number fields. Zbl 1176.11068 Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence	2	2009
On the computation of Hermite-Humbert constants: the algorithm of Cohn revisited. Zbl 1215.11125 Pohst, M. E.; Wagner, Marcus	1	2009
Solving resultant form equations over number fields. Zbl 1214.11042 Gaál, István; Pohst, Michael	2	2008
Diophantine equations over global function fields. III: An application to resultant form equations. Zbl 1233.11036 Gaál, István; Pohst, Michael	2	2008
A lower regulator bound for number fields. Zbl 1215.11124 Fieker, Claus; Pohst, Michael E.	1	2008
Computation of 2-groups of positive classes of exceptional number fields. Zbl 1201.11106 Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael E.; Soriano-Gafiuk, Florence	1	2008
Units in some parametric families of quartic fields. Zbl 1116.11090 Leprévost, Franck; Pohst, Michael; Schöpp, Andreas	4	2007
Diophantine equations over global function fields. I: The Thue equation. Zbl 1157.11011 Gaál, István; Pohst, Michael	8	2006
Diophantine equations over global function fields. II: \(R\)-integral solutions of Thue equations. Zbl 1142.11019 Gaál, István; Pohst, Michael	7	2006
Dependency of units in number fields. Zbl 1097.11061 Fieker, Claus; Pohst, Michael E.	3	2006
Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Zbl 1103.11002	2	2006
A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. Zbl 1148.11060 Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence	6	2005
Factoring polynomials over global fields. II. Zbl 1156.11347 Méndez Omaña, José; Pohst, Michael E.	4	2005
On the computation of Hermite-Humbert constants for real quadratic number fields. Zbl 1098.11063 Pohst, Michael E.; Wagner, Marcus	3	2005
Factoring polynomials over global fields. I. Zbl 1156.11349 Pohst, Michael E.	3	2005
On real quadratic number fields suitable for cryptography. Zbl 1207.11107 Schielzeth, Daniel; Pohst, Michael E.	2	2005
Computing the multiplicative group of residue class rings. Zbl 1013.11073 Heß, Florian; Pauli, Sebastian; Pohst, Michael E.	7	2003
Families of polynomials associated with unicursal modular curves \(X_ 1(l)\) and nontrivial rational points of quotient elliptic curves. (Familles de polynômes liées aux courbes modulaires \(X_1(l)\) unicursales et points rationnels non-triviaux de courbes elliptiques quotient.) Zbl 1126.11321 Leprévost, Franck; Pohst, Michael; Schöpp, Andreas	2	2003
Power integral bases in orders of composite fields. Zbl 1020.11064 Gaál, István; Olajos, Péter; Pohst, Michael	20	2002
On the resolution of relative Thue equations. Zbl 0985.11070 Gaál, István; Pohst, Michael	16	2002
Computing power integral bases in quartic relative extensions. Zbl 0993.11055 Gaál, István; Pohst, Michael	12	2000
On lattice bases with special properties. Zbl 0972.11060 Halbritter, Ulrich; Pohst, Michael E.	5	2000
On Legendre’s equation over number fields. Zbl 0980.11020 Pohst, Michael E.	1	2000
Algebraic algorithms. (Algebraische Algorithmen. Herausgg. von Michael Pohst.) Zbl 0958.11080 Pethö, Attila	4	1999
From class groups to class fields. Zbl 1015.11068 Pohst, Michael E.	1	1999
On the computation of Hilbert class fields. Zbl 0910.11058 Daberkow, M.; Pohst, M.	3	1998
Tables of unit groups and class groups of quintic fields and a regulator bound. Zbl 0957.11058 Pohst, M.; Wildanger, K.	2	1998
The \(S_5\) extensions of degree 6 with minimum discriminant. Zbl 0921.11052 Ford, David; Pohst, Michael; Daberkow, Mario; Haddad, Nasser	2	1998
KANT V4. Zbl 0886.11070 Daberkow, M.; Fieker, C.; Klüners, J.; Pohst, M.; Roegner, K.; Schörnig, M.; Wildanger, K.	99	1997
Power integral bases in a parametric family of totally real cyclic quintics. Zbl 0899.11064 Gaál, István; Pohst, Michael	12	1997
On solving relative norm equations in algebraic number fields. Zbl 0854.11076 Fieker, C.; Jurk, A.; Pohst, M.	9	1997
On computing subfields. Zbl 0886.11072 Klüners, Jürgen; Pohst, Michael	8	1997
Simultaneous representation of integers by a pair of ternary quadratic forms – with an application to index form equations in quartic number fields. Zbl 0853.11023 Gaál, István; Pethö, Attila; Pohst, Michael	21	1996
On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. Zbl 0873.11025 Gaál, István; Pohst, Michael	15	1996
On lattices over number fields. Zbl 0930.11090 Fieker, C.; Pohst, M. E.	7	1996
Computational aspects of Kummer theory. Zbl 0894.11051 Pohst, M. E.	3	1996
On integral basis reduction in global function fields. Zbl 0898.11048 Pohst, M. E.; Schörnig, M.	2	1996
Computing invariants of algebraic number fields. Zbl 0892.11040 Pohst, Michael E.	2	1996
On integral bases in relative quadratic extensions. Zbl 0862.11057 Daberkow, M.; Pohst, M.	1	1996
On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. Zbl 0853.11026 Gaál, István; Pethö, Attila; Pohst, Michael	15	1995
Computations with relative extensions of number fields with an application to the construction of Hilbert class fields. Zbl 0930.11089 Daberkow, M.; Pohst, M.	7	1995
A table of quintic number fields. Zbl 0822.11087 Schwarz, A.; Pohst, M.; Diaz y Diaz, Francisco	18	1994
On computing fundamental units. Zbl 0810.11065 Pohst, M.	3	1994
On the resolution of index form equations in dihedral quartic number fields. Zbl 0823.11074 Gaál, István; Pethö, Attila; Pohst, Michael	2	1994
A practical version of the generalized Lagrange algorithm. Zbl 0857.11067 Buchmann, Johannes; Jüntgen, Max; Pohst, Michael	1	1994
In memoriam: Hans Zassenhaus (1912-1991). Zbl 0906.01029 Pohst, Michael	1	1994
Computational algebraic number theory. Zbl 0817.11063 Pohst, Michael E.	27	1993
On the resolution of index form equations in quartic number fields. Zbl 0808.11023 Gaál, István; Pethö, Attila; Pohst, Michael	17	1993
Enumeration of quartic fields of small discriminant. Zbl 0788.11060 Buchmann, Johannes; Ford, David; Pohst, Michael	8	1993
Constructing integral lattices with prescribed minimum. II. Zbl 0785.11037 Plesken, W.; Pohst, M.	3	1993
The totally real \(A_ 6\) extension of degree 6 with minimum discriminant. Zbl 0799.11052 Ford, David; Pohst, Michael	2	1993
The totally real \(A_ 5\) extension of degree 6 with minimum discriminant. Zbl 0773.11067 Ford, David; Pohst, Michael	4	1992
On the resolution of index form equations in biquadratic number fields. I. Zbl 0726.11022 Gaál, I.; Pethö, A.; Pohst, M.	12	1991
On the indices of biquadratic number fields having Galois group \(V_ 4\). Zbl 0724.11049 Gaál, I.; Pethö, A.; Pohst, M.	11	1991
On the resolution of index form equations in biquadratic number fields. II. Zbl 0726.11023 Gaál, I.; Pethö, A.; Pohst, M.	8	1991
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088 Bosma, Wieb; Pohst, Michael	6	1991
On the resolution of index form equations. Zbl 0925.11053 Gaál, I.; Pethö, A.; Pohst, M.	3	1991
Computational number theory. Proceedings of the colloquium on computational number theory held at the Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989. Zbl 0722.00004	1	1991
A note on index divisors. Zbl 0734.11056 Pohst, M.	1	1991
The minimum discriminant of totally real octic fields. Zbl 0719.11079 Pohst, M.; Martinet, J.; Diaz y Diaz, Francisco	13	1990
On the computation of the values of zeta functions of totally real cubic fields. Zbl 0727.11050 Halbritter, U.; Pohst, M.	6	1990
Algorithmic algebraic number theory. Zbl 0685.12001 Pohst, M.; Zassenhaus, Hans	139	1989
Computing a lattice basis from a system of generating vectors. Zbl 1209.11108 Buchmann, Johannes; Pohst, Michael	7	1989
Three principal tasks of computational algebraic number theory. Zbl 0694.12002 Pohst, M. E.	6	1989
On the computation of unit groups and class groups of totally real quartic fields. Zbl 0714.11002 Buchmann, J.; Pohst, M.; Schmettow, J.v.	5	1989
A modification of the LLL reduction algorithm. Zbl 0629.10001 Pohst, M.	22	1987
On computing isomorphisms of equation orders. Zbl 0632.12001 Pohst, M.	7	1987
Algorithmic methods in algebra and number theory. Reprinted from the Journal of Symbolic Computation 4, No.1, 1987. Zbl 0671.12001	2	1987
Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Zbl 0556.10022 Fincke, U.; Pohst, M.	120	1985
Constructing integral lattices with prescribed minimum. I. Zbl 0581.10014 Plesken, Wilhelm; Pohst, M.	15	1985
Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. Zbl 0559.12003 Pohst, Michael; Zassenhaus, Hans	5	1985
A new method of computing fundamental units in algebraic number fields. Zbl 0597.12008 Fincke, U.; Pohst, M.	1	1985
On reduction algorithms in non-linear integer mathematical programming. Zbl 0532.90071 Fincke, Ulrich; Pohst, Michael	2	1984
A procedure for determining algebraic integers of given norm. Zbl 0541.12001 Fincke, U.; Pohst, M.	22	1983
Computation of integral solutions of a special type of systems of quadratic equations. Zbl 0539.65025 Pohst, Michael	1	1983
On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005 Pohst, Michael	35	1982
On effective computation of fundamental units. II. Zbl 0493.12005 Pohst, Michael; Weiler, Peter; Zassenhaus, Hans	11	1982
On effective computation of fundamental units. I. Zbl 0493.12004 Pohst, Michael; Zassenhaus, Hans	9	1982
On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications. Zbl 0467.10022 Pohst, Michael	33	1981
On solving systems of algebraic equations via ideal bases and elimination theory. Zbl 0489.68034 Pohst, Michael E.; Yun, David Y. Y.	5	1981
On maximal finite irreducible subgroups of GL(n,Z). V: The eight dimensional case and a complete description of dimensions less than ten. Zbl 0431.20041 Plesken, Wilhelm; Pohst, Michael	6	1980
On maximal finite irreducible subgroups of GL(n,Z). III: The nine dimensional case. Zbl 0431.20039 Plesken, Wilhelm; Pohst, Michael	3	1980
On maximal finite irreducible subgroups of GL(n,Z).IV: Remarks on even dimensions with applications to n=8. Zbl 0431.20040 Plesken, Wilhelm; Pohst, Michael	2	1980
On unit computation in real quadratic fields. Zbl 0425.12004 Pohst, M.; Zassenhaus, Hans	1	1979
Eine Regulatorabschätzung. Zbl 0381.12006 Pohst, Michael	8	1978
Regulatorabschätzungen für total reelle algebraische Zahlkörper. Zbl 0366.12011 Pohst, Michael	19	1977
The minimum discriminant of seventh degree totally real algebraic number fields. Zbl 0373.12006 Pohst, M.	9	1977
On maximal finite irreducible subgroups of GL(n, Z). I: The five and seven dimensional cases. Zbl 0359.20006 Plesken, Wilhelm; Pohst, Michael	9	1977
On maximal finite irreducible subgroups of GL(n, Z). II: The six dimensional case. Zbl 0359.20007 Plesken, Wilhelm; Pohst, Michael	9	1977
An effective number geometric method of computing the fundamental units of an algebraic number field. Zbl 0374.12001 Pohst, Michael; Zassenhaus, Hans	6	1977
On maximal finite irreducible subgroups of GL(n,Z). I: The five and seven dimensional case. II: The six dimensional case. Zbl 0338.20007 Plesken, Wilhelm; Pohst, Michael	3	1976
Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante. Zbl 0292.12019 Pohst, Michael	2	1976
...and 4 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 758 Authors

46	Pohst, Michael
37	Gaál, István
21	El Fadil, Lhoussain
12	Ben Yakkou, Hamid
12	Fieker, Claus
12	Klüners, Jürgen
10	Diaz y Diaz, Francisco
10	Pethő, Attila
9	Buchmann, Johannes A.
9	Ducas, Léo
9	Kwon, Soun-Hi
9	Laarhoven, Thijs
9	Stehlé, Damien
7	Biasse, Jean-François
7	Cohen, Henri
7	Friedman, Eduardo C.
7	Kchit, Omar
7	Pauli, Sebastian
6	Acciaro, Vincenzo
6	Fukshansky, Lenny
6	Jones, John William
6	Remete, László
6	Tang, Hui-Chin
6	Togbé, Alain
6	Tran, Ha Thanh Nguyen
5	Akhtari, Shabnam
5	Albrecht, Martin R.
5	Heuberger, Clemens
5	Hofmann, Tommy
5	Lange, Tanja
5	Olivier, Michel
5	Plesken, Wilhelm
5	Robertson, Leanne
5	Smart, Nigel Paul
5	Williams, Hugh Cowie
5	Ziegler, Volker
4	Bai, Shi
4	Battistoni, Francesco
4	Bernstein, Daniel Julius
4	Carmelo Interlando, J.
4	Chang, Xiaowen
4	Daberkow, Mario
4	de Weger, Benjamin M. M.
4	Eick, Bettina
4	Elia, Michele
4	Hanrot, Guillaume
4	Jakhar, Anuj
4	Jaulent, Jean-François
4	Kung, Chingjing
4	Louboutin, Stéphane R.
4	Maclachlan, Colin
4	Malle, Gunter
4	Nebe, Gabriele
4	Nguyen, Phong Q.
4	Roberts, David Peter
4	Roblot, Xavier-François
4	Scheidler, Renate
4	Selmane, Schehrazad
3	Belabas, Karim
3	Bruin, Nils
3	Capuñay, Alex
3	Chang, Ku-Young
3	Didi, Jalal
3	Dilcher, Karl
3	Dutour-Sikiric, Mathieu
3	Grundman, Helen G.
3	Halbritter, Ulrich
3	Hess, Florian
3	Jacobson, Michael John jun.
3	Jadrijević, Borka
3	Kirshanova, Elena
3	Koprowski, Przemysław
3	Laksov, Dan
3	L’Ecuyer, Pierre
3	Maharaj, Hiren
3	Malyshev, Dmitriĭ Sergeevich
3	Mignotte, Maurice
3	Nakahara, Toru
3	Nyul, Gábor
3	Park, Sun-Mi
3	Pfeuffer, Horst
3	Pierrot, Cécile
3	Poulakis, Dimitrios
3	Prástaro, Agostino
3	Renault, Guénaël
3	Sijsling, Jeroen
3	Smith, Hanson
3	Spearman, Blair Kenneth
3	Sutherland, Nicole
3	Tzanakis, Nikos
3	Ulas, Maciej
3	van Woerden, Wessel P. J.
3	Voight, John Michael
3	Wakabayashi, Isao
3	Williams, Kenneth S.
3	Yokoyama, Kazuhiro
2	Ahn, Jeoung-Hwan
2	Alvanos, Paraskevas
2	Arnóczki, Tímea
2	Ash, Avner
...and 658 more Authors

all top 5

Cited in 153 Serials

82	Mathematics of Computation
78	Journal of Number Theory
42	Journal of Symbolic Computation
31	Journal de Théorie des Nombres de Bordeaux
25	Experimental Mathematics
22	International Journal of Number Theory
17	Journal of Algebra
9	Transactions of the American Mathematical Society
9	Acta Mathematica Hungarica
8	Designs, Codes and Cryptography
7	Periodica Mathematica Hungarica
7	Acta Arithmetica
7	Functiones et Approximatio. Commentarii Mathematici
6	Rocky Mountain Journal of Mathematics
6	Finite Fields and their Applications
5	Bulletin of the Australian Mathematical Society
5	Mathematical Proceedings of the Cambridge Philosophical Society
5	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5	Archiv der Mathematik
5	Journal of Soviet Mathematics
5	Theoretical Computer Science
5	LMS Journal of Computation and Mathematics
4	Communications in Algebra
4	Annales de l’Institut Fourier
4	Circuits, Systems, and Signal Processing
4	Journal of Complexity
4	Linear Algebra and its Applications
4	Acta Mathematica et Informatica Universitatis Ostraviensis
4	The Ramanujan Journal
4	JP Journal of Algebra, Number Theory and Applications
4	Journal of Algebra and its Applications
4	Journal of Mathematical Cryptology
4	Advances in Mathematics of Communications
3	Discrete Applied Mathematics
3	Inventiones Mathematicae
3	Journal of Pure and Applied Algebra
3	Cybernetics
3	Journal of Information & Optimization Sciences
3	Journal of Global Optimization
3	Journal of Discrete Mathematical Sciences & Cryptography
3	Journal of High Energy Physics
3	Boletim da Sociedade Paranaense de Matemática. Terceira Série
3	Research in Number Theory
2	Computers & Mathematics with Applications
2	Acta Scientiarum Mathematicarum
2	Applied Mathematics and Computation
2	Computing
2	Czechoslovak Mathematical Journal
2	Journal of Combinatorial Theory. Series A
2	Journal of Computational and Applied Mathematics
2	Journal für die Reine und Angewandte Mathematik
2	Mathematische Annalen
2	Memoirs of the American Mathematical Society
2	Proceedings of the American Mathematical Society
2	Proceedings of the Japan Academy. Series A
2	Results in Mathematics
2	Tokyo Journal of Mathematics
2	Acta Applicandae Mathematicae
2	Discrete & Computational Geometry
2	Mathematical and Computer Modelling
2	Signal Processing
2	Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2	Elemente der Mathematik
2	Mathematical Programming. Series A. Series B
2	SIAM Journal on Optimization
2	Boletín de la Sociedad Matemática Mexicana. Third Series
2	Journal of Geodesy
2	Journal of Combinatorial Optimization
2	Journal of Applied Mathematics and Computing
2	Optimization Letters
2	Algebra & Number Theory
2	São Paulo Journal of Mathematical Sciences
2	\(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2	Communications in Mathematics
2	Annales Mathématiques du Québec
2	Matematicheskie Voprosy Kriptografii
1	Artificial Intelligence
1	Discrete Mathematics
1	Information Processing Letters
1	Israel Journal of Mathematics
1	Nuclear Physics. B
1	Journal of Geometry and Physics
1	Acta Mathematica Vietnamica
1	Advances in Mathematics
1	Canadian Mathematical Bulletin
1	Colloquium Mathematicum
1	Compositio Mathematica
1	Publications Mathématiques
1	Journal of the London Mathematical Society. Second Series
1	Journal of Optimization Theory and Applications
1	Kodai Mathematical Journal
1	Manuscripta Mathematica
1	Mathematica Slovaca
1	Mathematische Zeitschrift
1	Mathematika
1	Monatshefte für Mathematik
1	Nagoya Mathematical Journal
1	Pacific Journal of Mathematics
1	Proceedings of the Edinburgh Mathematical Society. Series II
1	Quaestiones Mathematicae
...and 53 more Serials

all top 5

Cited in 44 Fields

524	Number theory (11-XX)
84	Information and communication theory, circuits (94-XX)
80	Computer science (68-XX)
50	Algebraic geometry (14-XX)
48	Field theory and polynomials (12-XX)
43	Group theory and generalizations (20-XX)
29	Numerical analysis (65-XX)
19	Quantum theory (81-XX)
17	Commutative algebra (13-XX)
15	Convex and discrete geometry (52-XX)
13	Operations research, mathematical programming (90-XX)
10	Functions of a complex variable (30-XX)
9	Combinatorics (05-XX)
8	Linear and multilinear algebra; matrix theory (15-XX)
8	Associative rings and algebras (16-XX)
7	Manifolds and cell complexes (57-XX)
5	Nonassociative rings and algebras (17-XX)
4	\(K\)-theory (19-XX)
3	Order, lattices, ordered algebraic structures (06-XX)
3	Special functions (33-XX)
3	Partial differential equations (35-XX)
3	Dynamical systems and ergodic theory (37-XX)
3	Geometry (51-XX)
2	Mathematical logic and foundations (03-XX)
2	Category theory; homological algebra (18-XX)
2	Topological groups, Lie groups (22-XX)
2	Ordinary differential equations (34-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	Functional analysis (46-XX)
2	Probability theory and stochastic processes (60-XX)
2	Statistics (62-XX)
2	Fluid mechanics (76-XX)
2	Relativity and gravitational theory (83-XX)
2	Geophysics (86-XX)
1	History and biography (01-XX)
1	Real functions (26-XX)
1	Measure and integration (28-XX)
1	Potential theory (31-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Sequences, series, summability (40-XX)
1	General topology (54-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Optics, electromagnetic theory (78-XX)
1	Systems theory; control (93-XX)

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