On a class of two-ordered fields. (Russian. English summary) Zbl 1522.12005
MSC:
12J15
Found 69 Documents (Results 1–69)
The Wickstead Problem. (English) Zbl 1299.46004
Kolmogorov complexity theory over the reals. (English) Zbl 1262.68057
Brattka, V. (ed.) et al., Proceedings of the fifth international conference on computability and complexity in analysis (CCA 2008), Hagen, Germany, August 21–24, 2008. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 221, 153-169 (2008).
Estimates for the orders of zeros of polynomials in some analytic functions. (English. Russian original) Zbl 1219.30003
Math. Notes 84, No. 2, 184-196 (2008); translation from Mat. Zametki 84, No. 2, 193-206 (2008).
An explicit lower bound for the block complexity of an algebraic number. (English) Zbl 1268.11099
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 19, No. 3, 229-235 (2008).
Reviewer: Michael Drmota (Wien)
Transcendental numbers and zeta functions. (English) Zbl 1228.11110
Reviewer: Wolfgang Haneke (Marburg)
A geometric proof to Cantor’s theorem and an irrationality measure for some Cantor’s series. (English) Zbl 1212.11072
The role of complex conjugation in transcendental number theory. (English) Zbl 1198.11068
Saradha, N. (ed.), Diophantine equations. Papers from the international conference held in honor of T. N. Shorey’s 60th birthday, Mumbai, India, December 16–20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-898-4/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 20, 297-308 (2008).
Reviewer: Jaroslav Hančl (Ostrava)
On irrationality and transcendency of infinite sums of rational numbers. (English) Zbl 1198.11066
Saradha, N. (ed.), Diophantine equations. Papers from the international conference held in honor of T. N. Shorey’s 60th birthday, Mumbai, India, December 16–20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-898-4/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 20, 279-296 (2008).
Reviewer: Jaroslav Hančl (Ostrava)
Diophantine approximation and transcendence in finite characteristic. (English) Zbl 1198.11067
Saradha, N. (ed.), Diophantine equations. Papers from the international conference held in honor of T. N. Shorey’s 60th birthday, Mumbai, India, December 16–20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-898-4/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 20, 265-278 (2008).
Reviewer: Wadim Zudilin (Bonn)
Logarithmic functions and formal groups of elliptic curves. (English) Zbl 1196.11106
Saradha, N. (ed.), Diophantine equations. Papers from the international conference held in honor of T. N. Shorey’s 60th birthday, Mumbai, India, December 16–20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-898-4/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 20, 243-255 (2008).
Reviewer: Michel Waldschmidt (Paris)
Algebraic independence in the \(p\)-adic domain. (English) Zbl 1210.11081
Saradha, N. (ed.), Diophantine equations. Papers from the international conference held in honor of T. N. Shorey’s 60th birthday, Mumbai, India, December 16–20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-898-4/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 20, 177-195 (2008).
Reviewer: Michael Coons (Waterloo)
Elliptic functions and transcendence. (English) Zbl 1210.11084
Alladi, Krishnaswami (ed.), Surveys in number theory. New York, NY: Springer (ISBN 978-0-387-78509-7/hbk). Developments in Mathematics 17, 1-46 (2008).
Hypergeometric transformations of linear forms in one logarithm. (English) Zbl 1205.33008
Reviewer: Johann Brauchart (Graz)
Transcendence of two types of formal power series over a function field with positive characteristic. (Chinese. English summary) Zbl 1174.11382
MSC:
11J81
Polynomial interpolation on an order of a number field. (Interpolation polynômiale sur un ordre d’un corps de nombres.) (French) Zbl 1213.11184
Reviewer: Patrice Philippon (Paris)
On small values of discriminants of polynomials, the product of linear integer polynomials of \(n\)-th degree. (Russian. English summary) Zbl 1165.11326
Which partial sums of the Taylor series for \(e\) are convergents to \(e\)? (and a link to the primes 2, 5, 13, 37, 463). (English) Zbl 1159.11004
Amdeberhan, Tewodros (ed.) et al., Tapas in experimental mathematics. AMS special session on experimental mathematics, New Orleans, LA, USA, January 5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4317-8/pbk). Contemporary Mathematics 457, 273-284 (2008).
Reviewer: Roland Girgensohn (München)
Transcendence type for almost all points of the \(m\)-dimensional complex space. (English. Russian original) Zbl 1209.11068
Russ. Math. Surv. 63, No. 2, 375-377 (2008); translation from Usp. Mat. Nauk. 63, No. 2, 175-176 (2008).
Reviewer: Zhu Yaochen (Beijing)
On the irrationality measure of \( \pi\). (English. Russian original) Zbl 1208.11086
Russ. Math. Surv. 63, No. 3, 570-572 (2008); translation from Usp. Mat. Nauk 63, No. 3, 163-164 (2008).
Reviewer: Zhu Yaochen (Beijing)
Diophantine approximations of the number \(\pi\) by numbers from the field \(\mathbb Q(\sqrt 3)\). (English. Russian original) Zbl 1193.11071
Math. Notes 83, No. 6, 833-842 (2008); translation from Mat. Zametki 83, No. 6, 912-922 (2008).
Reviewer: Jaroslav Hančl (Ostrava)
Diophantine approximations of \(\log 2\) and other logarithms. (English. Russian original) Zbl 1201.11073
Math. Notes 83, No. 3, 389-398 (2008); translation from Mat. Zametki 83, No. 3, 428-438 (2008).
Reviewer: Jaroslav Hančl (Ostrava)
Aspects of algebraic independence in non-zero characteristic (after Anderson, Brownawell, Denis, Papanikolas, Thakur, Yu, et al.). (Aspects de l’indépendance algébrique en caractéristique non nulle (d’après Anderson, Brownawell, Denis, Papanikolas, Thakur, Yu, et al.).) (French) Zbl 1185.11048
Séminaire Bourbaki. Volume 2006/2007. Exposés 967–981. Paris: Société Mathématique de France (ISBN 978-2-85629-253-2/pbk). Astérisque 317, 205-242, Exp. No. 973 (2008).
Reviewer: Michel Waldschmidt (Paris)
The many faces of the subspace theorem [after Adamczewski, Bugeaud, Corvaja, Zannier \(\ldots\)]. (English) Zbl 1220.11091
Séminaire Bourbaki. Volume 2006/2007. Exposés 967–981. Paris: Société Mathématique de France (ISBN 978-2-85629-253-2/pbk). Astérisque 317, 1-38, Exp. No. 967 (2008).
Reviewer: Jan-Hendrik Evertse (Leiden)
A note on a theorem of Ax. (English) Zbl 1155.03019
Small value estimates for the multiplicative group. (English) Zbl 1214.11087
Reviewer: Michel Waldschmidt (Paris)
On the values of a class of analytic functions at algebraic points. (English) Zbl 1214.11083
Reviewer: Peter Bundschuh (Köln)
A devil’s staircase from rotations and irrationality measures for Liouville numbers. (English) Zbl 1204.37041
Algebraic properties of the Lambert \(W\) function from a result of Rosenlicht and of Liouville. (English) Zbl 1156.33004
Reviewer: Zhibo Huang (Guangzhou)
Linear independence of values of Tschakaloff functions with different parameters. (English) Zbl 1173.11044
Entire functions sharing arguments of integrality. II. (English) Zbl 1174.11057
Reviewer: Andrzej Dabrowski (Szczecin)
Transcendental numbers and fractal functions in problems of finite control of distributed systems. (English. Russian original) Zbl 1147.93025
Dokl. Math. 77, No. 3, 469-471 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 5, 604-606 (2008).
New irrationality results for dilogarithms of rational numbers. (English) Zbl 1214.11085
Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 413-422 (2008).
Reviewer: Peter Bundschuh (Köln)
Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series. (English) Zbl 1213.11146
Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 123-139 (2008).
Reviewer: Jaroslav Hančl (Ostrava)
Multiple series connected to Hoffman’s conjecture on multiple zeta values. (English) Zbl 1186.11051
Reviewer: Wadim Zudilin (Bonn)
On a conjecture of Erdős. (English) Zbl 1157.11031
Math. Notes 83, No. 2, 281-284 (2008); translation from Mat. Zametki 83, No. 2, 312-315 (2008).
Three transcendental numbers from the last non-zero digits of \(n^n\), \(F_n\), and \(n!\). (English) Zbl 1165.11060
Reviewer: Jan Šustek
Permutation groups and irrationality results. (Italian. English summary) Zbl 1215.11073
MSC:
11J82
On patterns occurring in binary algebraic numbers. (English) Zbl 1151.11036
Reviewer: Artūras Dubickas (Vilnius)
On the Mahler measure in several variables. (English) Zbl 1154.11020
Reviewer: Artūras Dubickas (Vilnius)
Algebraic independence of \(p\)-adic numbers. (English. Russian original) Zbl 1145.11055
Izv. Math. 72, No. 3, 565-579 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 3, 159-174 (2008).
Reviewer: Maurice Mignotte (Strasbourg)
Zariski-density of exceptional sets for hypergeometric functions. (English) Zbl 1155.11040
Reviewer: Wadim Zudilin (Bonn)
On two notions of complexity of algebraic numbers. (English) Zbl 1236.11062
Reviewer: John H. Loxton (Greenwich)
A remark on trigonometric sums. (English) Zbl 1195.11096
Reviewer: Olaf Ninnemann (Uffing am Staffelsee)
Multiplicity estimates for certain pairs of functions involving Drinfeld modular forms. (English) Zbl 1231.11083
Reviewer: Vincent Bosser (Caen)
Why beauty is truth. A history of symmetry. Transl. from the English by Thomas Filk. (Die Macht der Symmetrie. Warum Schönheit Wahrheit ist.) (German) Zbl 1156.00001
Heidelberg: Spektrum Akademischer Verlag (ISBN 978-3-8274-2019-0/hbk). xiv, 304 p. (2008).
Reviewer: Franz Lemmermeyer (Jagstzell)
MSC:
00A05
Multiplicity lemmas and the Seshadri constant. (Lemmes de multiplicités et constante de Seshadri.) (French) Zbl 1156.11027
Reviewer: Patrice Philippon (Paris)
Diophantine approximation and Cantor sets. (English) Zbl 1163.11056
Reviewer: Simon Kristensen (Aarhus)
Arithmetical results on certain \(q\)-series. I. (English) Zbl 1187.11021
Reviewer: Jaroslav Hančl (Ostrava)
On approximation measures of certain \(q\)-continued fractions. (English) Zbl 1142.11052
Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 160-168 (2008).
Reviewer: Peter Bundschuh (Köln)
Diophantine approximation of the values of hypergeometric function of Gauss. (English) Zbl 1147.11040
Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 106-110 (2008).
Reviewer: Michel Waldschmidt (Paris)
Reciprocal sums of Fibonacci numbers. (English) Zbl 1151.11037
Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 77-89 (2008).
Reviewer: Peter Bundschuh (Köln)
Measure of irrationality for certain infinite series. (English) Zbl 1142.11050
Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 1-6 (2008).
Reviewer: Peter Bundschuh (Köln)
On the transcendence of some infinite series. (English) Zbl 1186.11043
Reviewer: Rolf Wallisser (Freiburg i. Br.)
MSC:
11J81
On irrationality measures of \(\sum^{\infty}_{l=0}d^{l} / \prod^l_{j=1}(1+d^jr+d^{2j}s)\). (English) Zbl 1214.11084
Reviewer: Peter Bundschuh (Köln)
Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms. (English) Zbl 1235.11074
Reviewer: Lenny Taelman (Leiden)
Introduction to number theory. 6th, revised and updated ed. (Einführung in die Zahlentheorie.) (German) Zbl 1143.11001
Springer-Lehrbuch. Berlin: Springer (ISBN 978-3-540-76490-8/pbk). xiv, 336 p. (2008).
Reviewer: Franz Lemmermeyer (Jagstzell)
Difference algebra. (English) Zbl 1209.12003
Algebra and Applications 8. New York, NY: Springer (ISBN 978-1-4020-6946-8/hbk). xi, 519 p. (2008).
Reviewer: Hirokazu Nishimura (Tsukuba)
WITHDRAWN: Schanuel’s conjecture and the exceptional set of \(\gamma\)-th arithmetic zeta functions. arXiv:0812.4178
Preprint, arXiv:0812.4178 [math.NT] (2008); retraction notice ibid.
MSC:
11J81
Transcendence of the Gaussian Liouville number and relatives. arXiv:0806.1694
Preprint, arXiv:0806.1694 [math.NT] (2008).
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