Effective algebraic independence of values of \(E\)-functions. (English) Zbl 1541.11063
Reviewer: Michel Waldschmidt (Paris)
Found 93 Documents (Results 1–93)
Countably coverable rings. (English) Zbl 1511.13010
Reviewer: Dario Spirito (Padova)
Periods, Power Series, and Integrated Algebraic Numbers. arXiv:2211.01269
Preprint, arXiv:2211.01269 [math.LO] (2022).
The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series. (English) Zbl 1487.11072
Reviewer: Michel Waldschmidt (Paris)
Fast-growing series are transcendental. arXiv:2102.12995
Preprint, arXiv:2102.12995 [math.NT] (2021).
A general theory of André’s solution algebras. (Une théorie générale des algèbres de solutions d’André.) (English. French summary) Zbl 1476.12006
Reviewer: Andreas Maurischat (Aachen)
Pink’s theory of Hodge structures and the Hodge conjecture over function fields. (English) Zbl 1451.14013
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 31-182 (2020).
\(t\)-motives: Hodge structures, transcendence and other motivic aspects. (English) Zbl 1441.14003
EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-198-9/hbk; 978-3-03719-698-4/ebook). xi, 461 p. (2020).
Multigraded Koszul complexes, filter-regular sequences and lower bounds for the multiplicity of the resultant. arXiv:1912.04047
Preprint, arXiv:1912.04047 [math.AC] (2019).
Stable transcendence for formal power series, generalized Artin-Schreier polynomials and a conjecture concerning \(p\)-groups. (English) Zbl 1403.13012
Reviewer: Ali Benhissi (Monastir)
On divergence and sums of derivations. (English) Zbl 1426.13013
Reviewer: Oleksandr Iena (Luxembourg)
Distances from the vertices of a regular simplex. (English) Zbl 1379.51005
Reviewer: Sándor Nagydobai Kiss (Satu Mare)
Continued fractions and transcendence of formal power series over a finite field. (English) Zbl 1410.11100
Multiplicity estimates: a Morse-theoretic approach. (English) Zbl 1334.14031
Reviewer: Vladimir P. Kostov (Nice)
A transcendence criteria for continued fraction expansions in positive characteristic. (English) Zbl 1432.11079
Intersections of valuation rings in \(k[x,y]\). (English) Zbl 1326.14084
Reviewer: Gerard Leloup (Le Mans)
Diagonalization and rationalization of algebraic Laurent series. (Diagonalisation et rationalisation des séries algébriques de Laurent.) (English. French summary) Zbl 1318.13033
Reviewer: Jean-Paul Allouche (Paris)
On the algebraic independence of functions of a certain class. (English) Zbl 1272.11090
Izv. Math. 77, No. 1, 20-29 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 1, 23-32 (2013).
Reviewer: Michel Waldschmidt (Paris)
Filtrations, transcendence degree and analytic spread. (English) Zbl 1259.13003
Reviewer: Yi-Huang Shen (Hefei)
Polynomial graded subalgebras of polynomial algebras. (English) Zbl 1275.13016
Reviewer: Ali Soleyman (Sanandaj)
Independence measures of arithmetic functions. II. (English) Zbl 1254.11073
Reviewer: Władysław Narkiewicz (Wrocław)
Transcendence degree of Rees rings of Noetherian filtrations and their quotients. (English) Zbl 1210.13009
MSC:
13A30
Some chain conditions in pullbacks. (English) Zbl 1200.13013
Reviewer: Jebrel M. Habeb (Irbid)
On conjugate prime ideals of tensor products of \(k\)-algebras. (English) Zbl 1193.13011
Reviewer: Mohsen Asgharzadeh (Tehran)
Real closed valuation rings. (English) Zbl 1184.13072
Reviewer: Alexander Kovačec (Coimbra)
Almost integer-valued functions in positive characteristic. (English) Zbl 1148.13301
Katsurada, Masanori (ed.) et al., Diophantine analysis and related fields 2006. In honor of Iekata Shiokawa. Proceedings of the conference, Keio University, Yokohama, Japan, March 7–10, 2006. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 35, 1-10 (2006).
Seidenberg’s inequalities for tensor products of algebras. (English) Zbl 1085.13006
Reviewer: Florida Girolami (Roma)
A counterexample to the fourteenth problem of Hilbert in dimension four. (English) Zbl 1099.13035
Reviewer: Ali Benhissi (Monastir)
The transcendence degree of an integral domain over a subfield and the dimension of the domain. (English) Zbl 1079.13006
Reviewer: Moshe Roitman (Haifa)
On pseudo-valuation domains whose overrings are going-down domains. (English) Zbl 1059.13004
Reviewer: M. E. Keating (London)
On multivariate rational function decomposition. (English) Zbl 1043.12006
Reviewer: Yueh-er Kuo (Knoxville)
Gröbner bases applied to finitely generated field extensions. (English) Zbl 0997.12005
Reviewer: Claus Fieker (Berlin)
Transcendence bases of the algebra of vector invariants for a symmetric group. (English) Zbl 0997.12013
Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 487-501 (1999).
Reviewer: K.Chandrasekhara Rao (Karaikudi)
Groups, rings, fields. Basic structures of algebra. (Gruppen, Ringe, Körper. Die grundlegenden Strukturen der Algebra.) (German) Zbl 0931.00002
München: Oldenbourg. vii, 199 S. DM 46.00; sFr. 40.00; öS 336.00 (1999).
Reviewer: W.Kerby (Hamburg)
Basic algorithms for rational function fields. (English) Zbl 0935.11046
Reviewer: Claus Fieker (Berlin)
Emmy Noether and the development of commutative algebra. (English) Zbl 0930.13001
Teicher, Mina (ed.), The heritage of Emmy Noether. Proceedings of the conference, Bar-Ilan University, Ramat-Gan, Israel, December 2–3, 1996. Ramat-Gan: Bar-Ilan Univ., The Emmy Noether Research Institute of Mathematics, Isr. Math. Conf. Proc. 12, 23-38 (1999).
Reviewer: Dan Laksov (Stockholm)
Transcendence of binomial and Lucas’ formal power series. (English) Zbl 0980.11030
Reviewer: Doru Ştefănescu (Bucureşti)
Zero order estimates for functions satisfying generalized functional equations of Mahler type. (English) Zbl 0912.11030
Reviewer: D.Duverney (Lille)
Type and dimension of finitely generated \(G\)-algebras. (English) Zbl 0840.13004
Bokut’, L. A. (ed.) et al., Second international conference on algebra dedicated to the memory of A. I. Shirshov. Proceedings of the conference on algebra, August 20-25, 1991, Barnaul, Russia. Providence, RI: American Mathematical Society. Contemp. Math. 184, 275-280 (1995).
Reviewer: R.Dimitrić (Berkeley)
Algebra. Groups, rings, and fields. (English) Zbl 0820.00001
Wellesley, MA: A. K. Peters. xxii, 239 p. (1994).
Reviewer: J.Okniński (Warszawa)
On value groups and residue fields of some valued function fields. (English) Zbl 0809.12007
Reviewer: S.K.Khanduja (Chandigarh)
Rings and fields of constants for derivations in characteristic zero. (English) Zbl 0811.12003
Reviewer: David A. Jordan (Sheffield)
Semiflat algebras and transcendence degree. (English) Zbl 0751.13003
Reviewer: I.Crivei (Cluj-Napoca)
Krull dimension and transcendence degree. (English) Zbl 0717.13009
Reviewer: Hartmut Wiebe (Bochum)
Polynomials with high multiplicity. (English) Zbl 0688.10034
Reviewer: F.Amoroso
Model theoretic algebra: with particular emphasis on fields, rings, modules. (English) Zbl 0728.03026
Algebra, Logic and Applications, 2. New York etc.: Gordon and Breach Science Publishers. xiii, 443 p. (1989).
Reviewer: Hans-Jürgen Vogel (Potsdam)
Estimates for the number of zeros of functions of certain classes. (Russian) Zbl 0717.11026
Reviewer: D.Bertrand
Note on a paper of Sharif and Woodcock. (Note sur un article de Sharif et Woodcock.) (French) Zbl 0714.12006
Reviewer: G.Christol
On the transcendence of certain series. (English) Zbl 0689.13014
Reviewer: A.Escassut
On unramifying transcendence base. (English) Zbl 0737.13008
Commutative algebra, Proc. Microprogram, Berkeley/CA (USA) 1989, Publ., Math. Sci. Res. Inst. 15, 365-373 (1989).
Reviewer: Y.Felix (Louvain-La-Neuve)
Some transcendence degree questions. (English) Zbl 0738.13016
Commutative algebra, Proc. Microprogram, Berkeley/CA (USA) 1989, Publ., Math. Sci. Res. Inst. 15, 265-277 (1989).
Reviewer: K.Lakkis (Thessaloniki)
Torsion-free Abelian groups, valuations and twisted group rings. (English) Zbl 0656.20061
Reviewer: G.Karpilovsky
Estimates for the number of zeros of certain functions. (English) Zbl 0656.10034
New advances in transcendence theory, Proc. Symp., Durham/UK 1986, 263-269 (1988).
Reviewer: P.Philippon
Local diophantine Nullstellen inequalities. (English) Zbl 0651.10022
Reviewer: David W. Masser (Ann Arbor)
Algebraic functions over a field of positive characteristic and Hadamard products. (English) Zbl 0612.12018
Bounds for the degrees in the Nullstellensatz. (English) Zbl 0641.14001
Reviewer: Patrice Philippon (Paris)
Another note on Baker’s theorem. (English) Zbl 0627.10025
Analytic number theory and diophantine problems, Proc. Conf., Stillwater/Okla. 1984, Prog. Math. 70, 291-304 (1987).
Reviewer: M.Waldschmidt
Large transcendence degree revisited. I: Exponential and non-CM cases. (English) Zbl 0626.10030
Diophantine approximation and transcendence theory, Semin., Bonn/FRG 1985, Lect. Notes Math. 1290, 149-173 (1987).
Reviewer: P.Philippon
The cancellation problem. (English) Zbl 0625.12012
Reviewer: J.N.Mordeson
Measures of algebraic independence of numbers and functions. (English) Zbl 0615.10043
Journées arithmétiques, Besançon/France 1985, Astérisque 147/148, 141-149 (1987).
Reviewer: M.Waldschmidt
Algebraic power series and diagonals. (English) Zbl 0609.12020
Reviewer: Gilles Christol (Paris)
Transcendence degree over an arbitrary commutative ring. (English) Zbl 0591.13003
Reviewer: A.R.Magid
An ”ideal” transcendence measure. (English) Zbl 0589.10033
Diophantine analysis, Proc. Number Theory Sect. Aust. Math. Soc. Conv., Univ. New South Wales 1985, Lond. Math. Soc. Lect. Note Ser. 109, 1-19 (1986).
Reviewer: Michel Waldschmidt (Paris)
Automata and p-adic numbers. (English) Zbl 0583.12021
Reviewer: A.Escassut
Estimates for the characteristic function of a prime ideal. (English. Russian original) Zbl 0579.10030
Math. USSR, Sb. 51, 9-32 (1985); translation from Mat. Sb., Nov. Ser. 123 (165), No. 1, 11-34 (1984).
Reviewer: V.Perić
Some localizations which are Hilbert rings. (English) Zbl 0562.13015
Reviewer: C.P.L.Rhodes
Basic algebra I. 2nd ed. (English) Zbl 0557.16001
New York: W. H. Freeman and Company. XVIII, 499 p. £19.95 (1985).
Reviewer: B.Richter
A conjecture of O’Carroll and Qureshi on tensor products of fields. (English) Zbl 0607.13010
Reviewer: R.Y.Sharp
Krull dimension and algebraic extensions. (Spanish. English summary) Zbl 0593.13004
Proc. XIIth annu. Meet. Spanish mathematicians, Málaga 1976, 47-51 (1983).
Reviewer: M.Golasiński
Zero estimates for solutions of differential equations. (English) Zbl 0513.10034
Approximations diophantiennes et nombres transcendants, Colloq. Luminy/Fr. 1982, Prog. Math. 31, 67-94 (1983).
Reviewer: Patrice Philippon (Paris)
Krull dimension, transcendence degree and subalgebras of finitely generated algebras. (English) Zbl 0457.13008
Towards Schanuel’s conjecture. II. Fields of finite transcendence type and chromatic sequences. Resultants. (Russian) Zbl 0442.10024
Some problems in differential algebra. (English) Zbl 0197.31601
Tr. Mezhdunarod. Kongr. Mat., Moskva 1966, 269-276 (1968).
Reviewer: R. M. Cohn
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