Found 157 documents

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au:waldschmidt, michel

Found 157 documents

Cartier, Pierre (ed.); Choudary, A. D. R. (ed.); Waldschmidt, Michel (ed.)

Mathematics in the 21st century. 6th world conference, Lahore, March 2013. (English) Zbl 06330245

Springer Proceedings in Mathematics & Statistics 98. Berlin: Springer (ISBN 978-3-0348-0858-3/

hbk). x, 251 p. EUR 106.99; £ 90.00; SFR 133.50; $ 129.00 (2014).

MSC: 01-06 01A61 00A05 00B25

Levesque, Claude; Waldschmidt, Michel

Solving effectively some families of Thue Diophantine equations. (English) Zbl 06367617 Mosc. J. Comb. Number Theory 3, No. 3-4, 118-144 (2013).

MSC: 11D61 11D41 11D59

Kanemitsu, Shigeru; Waldschmidt, Michel

Matrices of finite abelian groups, finite Fourier transform and codes. (English) Zbl 06296818

Kanemitsu, Shigeru (ed.) et al., Number theory. Arithmetic in Shangri-La. Proceedings of the 6th China-Japan seminar, Shanghai, China, August 15–17, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4452-44-1/hbk; 978-981-4452-46-5/ebook). Series on Number Theory and Its Applications 8, 90-106 (2013).

MSC: 20C05 65T99

Murthy, M. Pavaman; Waldschmidt, Michel; Soundararajan, K.; Vaidya, Prabhakar; Jutila, Matti Professor K. Ramachandra: reminiscences of his friends. (English) Zbl 1294.01060 Hardy-Ramanujan J. 34-35(2011-2012), 53-62 (2013).

MSC: 01A70 11-03

Waldschmidt, Michel

On Ramachandra’s contributions to transcendental number theory. (English) Zbl 06268988 Hardy-Ramanujan J. 34-35(2011-2012), 20-46 (2013).

Reviewer: Peter Bundschuh (Köln) MSC: 11J81 11-03

Families of cubic thue equations with effective bounds for the solutions. (English) Zbl 06190325

Borwein, Jonathan M. (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk;

978-1-4614-6642-0/ebook). Springer Proceedings in Mathematics & Statistics 43, 229-243 (2013).

MSC: 11D25 11D59

Approximation of an algebraic number by products of rational numbers and units.

(English) Zbl 1300.11026

J. Aust. Math. Soc. 93, No. 1-2, 121-131 (2012).

Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D59 11J87 11J68 11J86 11J17

Jiménez Urroz, Jorge; Luca, Florian; Waldschmidt, Michel

Gaps in binary expansions of some arithmetic functions and the irrationality of the Euler constant. (English) Zbl 1281.11007

J. Prime Res. Math. 8, 28-35 (2012).

Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11A63 11D75 11N05

Families of Thue-Mahler equations having only trivial solutions. (Familles d’équations de Thue-Mahler n’ayant que des solutions triviales.) (English) Zbl 06090455

Acta Arith. 155, No. 2, 117-138 (2012).

MSC: 11D59 11D45 11D61 11D25 11J87

Waldschmidt, Michel

Recent advances in Diophantine approximation. (English) Zbl 1271.11070

Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang.

Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 659-704 (2012).

Reviewer: Peter Bundschuh (Köln) MSC: 11Jxx 11J04 11J13 11J82 11J83

Waldschmidt, Michel

On the p-adic closure of a subgroup of rational points on an abelian variety. (English) Zbl 1291.11104

Afr. Mat. 22, No. 1, 79-89 (2011).

Reviewer: Peter Bundschuh (Köln) MSC: 11J89 11J95 11J61

Bugeaud, Yann; Levesque, Claude; Waldschmidt, Michel

Simultaneous Fermat-Pell-Mahler equations. (Équations de Fermat-Pell-Mahler simultanées.) (French) Zbl 1249.11053

Publ. Math. 79, No. 3-4, 357-366 (2011).

MSC: 11D59

Some remarks on Diophantine equations and Diophantine approximation. (English) Zbl 1247.11041

Vietnam J. Math. 39, No. 3, 343-368 (2011).

Reviewer: Volker Ziegler (Graz) MSC: 11D59 11J87 11D25 Waldschmidt, Michel

Indo-French cooperation in mathematics. (English) Zbl 1213.01042 Math. Newsl., Ramanujan Math. Soc. 19, No. 1, Spec. Issue, 205-216 (2010).

MSC: 01A60

Waldschmidt, Michel

Auxiliary functions in transcendental number theory. (English) Zbl 1239.11080 Ramanujan J. 20, No. 3, 341-373 (2009).

Reviewer: Peter Bundschuh (Köln)

MSC: 11J81 30B70 30D20 32A15 33C20 42C05 Waldschmidt, Michel

Words and transcendence. (English) Zbl 1195.11095

Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/

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hbk). 449-470 (2009).

Reviewer: Jean-Paul Allouche (Orsay) MSC: 11J81 11J82 11J87 11B85 68R15

Waldschmidt, Michel

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) MSC: 11J81 11J86 11-02 Waldschmidt, Michel

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).

MSC: 11J89 11-02 11J82

Waldschmidt, Michel

Serge Lang’s contributions to the theory of transcendental numbers. (Les contributions de Serge Lang à la théorie des nombres transcendants.) (French) Zbl 1164.01006

Gaz. Math., Soc. Math. Fr. 108, 35-46 (2006).

Reviewer: Victor V. Pambuccian (Phoenix) MSC: 01A70 01A60 11-03 11J99 Waldschmidt, Michel

Diophantine analysis and words. (English) Zbl 1155.11042

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, 203-221 (2006).

Reviewer: Takao Komatsu (Hirosaki) MSC: 11K16 37A45 37B10

Waldschmidt, Michel

On Ramachandra’s contributions to transcendental number theory. (English) Zbl 1162.11038

Balasubramanian, R. (ed.) et al., The Riemann zeta function and related themes. Papers in honour of Professor K. Ramachandra. Proceedings of the international conference on analytic number theory, Bangalore, India, December 13–15, 2003. Mysore: Ramanujan Mathematical Society (ISBN 978-81-902545-2-6/pbk). Ramanujan Mathematical Society Lecture Notes Series 2, 155-179 (2006).

Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J81

Waldschmidt, Michel

Transcendence of periods: the state of the art. (English) Zbl 1220.11090 Pure Appl. Math. Q. 2, No. 2, 435-463 (2006).

MSC: 11J81 11G15 11-02 11G18 11J86 11J89 11J95

Waldschmidt, Michel

Hopf algebras and transcendental numbers. (English) Zbl 1170.11315

Aoki, Takashi (ed.) et al., Zeta functions, topology and quantum physics. Papers of the

symposium, Osaka, Japan, March 3–6, 2003. New York, NY: Springer (ISBN 0-387-24972-9/hbk;

0-387-24981-8/e-book). Developments in Mathematics 14, 197-219 (2005).

MSC: 11J81 16W30 11J95 11M41

Waldschmidt, Michel

Further variations on the six exponentials theorem. (English) Zbl 1116.11054 Hardy-Ramanujan J. 28, 1-9 (2005).

Reviewer: Rolf Wallisser (Freiburg i. Br.) MSC: 11J81 11J85 11J86

Waldschmidt, Michel

Variations on the six exponentials theorem. (English) Zbl 1176.11033

Tandon, Rajat (ed.), Algebra and number theory. Proceedings of the silver jubilee conference, Hyderabad, India, December 11–16, 2003. New Delhi: Hindustan Book Agency (ISBN 81-85931-57-7/hbk). 338-355 (2005).

Reviewer: Peter Bundschuh (Köln) MSC: 11J81 11J86 11J89 Waldschmidt, Michel

Introduction to Hopf algebras for Diophantine problems. (Introduction aux algèbres de Hopf pour des questions diophantiennes.) (French) Zbl 1101.16032

Ann. Sci. Math. Qué. 28, No. 1-2, 199-218 (2004).

Reviewer: Alan Koch (Decatur) MSC: 16W30 11J81 11M41

Waldschmidt, Michel

Open Diophantine problems. (English) Zbl 1066.11030 Mosc. Math. J. 4, No. 1, 245-305 (2004).

Reviewer: Maurice Mignotte (Strasbourg) MSC: 11Jxx 11-02 11Dxx 11G50 14G05 Roy, Damien; Waldschmidt, Michel

Diophantine approximation by conjugate algebraic integers. (English) Zbl 1055.11043 Compos. Math. 140, No. 3, 593-612 (2004).

Reviewer: Peter Bundschuh (Köln) MSC: 11J13 11J61 11J82 Waldschmidt, Michel

The French Mathematical Society. (Société Mathématique de France.) (English) Zbl 1046.01516

Aust. Math. Soc. Gaz. 30, No. 5, 284-286 (2003).

MSC: 01A74 Waldschmidt, Michel

Algebraic values of analytic functions. (English) Zbl 1062.11049 J. Comput. Appl. Math. 160, No. 1-2, 323-333 (2003).

Reviewer: François Gramain (Saint-Etienne) MSC: 11J81 33B30

Waldschmidt, Michel

Linear independence measures for logarithms of algebraic numbers. (English) Zbl 1093.11054

Amoroso, Francesco (ed.) et al., Diophantine approximation. Lectures given at the C. I. M. E.

summer school, Cetraro, Italy, June 28–July 6, 2000. Berlin: Springer (ISBN 3-540-40392-2/pbk).

Lect. Notes Math. 1819, 249-344 (2003).

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Reviewer: Pietro Corvaja (Udine) MSC: 11J82 11-02

Agarwal, A.K. (ed.); Berndt, Bruce C. (ed.); Krattenthaler, Christian F. (ed.); Mullen, Gary L.

(ed.); Ramachandra, K. (ed.); Waldschmidt, Michel (ed.)

Number theory and discrete mathematics. Proceedings of the international conference in honour of Srinivasa Ramanujan, Chandigarh, India, October 2–6, 2000.(English) Zbl 0997.00018

Trends in Mathematics. Basel: Birkhäuser. xvi, 314 p. EUR 88.79/net; sFr. 142.00 (2002).

MSC: 00B25 11-06 05-06 14-06

Waldschmidt, Michel

Algebraic dynamics and transcendental numbers. (English) Zbl 1112.37309

Planat, Michel (ed.), Noise, oscillators and algebraic randomness. From noise communication system to number theory. Lectures of a school, Chapelle des Bois, France, April 5–10, 1999.

Berlin: Springer (ISBN 3-540-67572-8). Lect. Notes Phys. 550, 372-378 (2000).

MSC: 37F10 11J81 37F99

Waldschmidt, Michel

Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.)(French) Zbl 0976.11037

J. Théor. Nombres Bordx. 12, No.2, 581-595 (2000).

Reviewer: John H.Loxton (North Ryde) MSC: 11M41 33B30

Waldschmidt, Michel

On a problem of Mahler concerning the approximation of exponentials and logarithms.

(English) Zbl 1002.11061

Publ. Math. 56, No.3-4, 713-738 (2000).

Reviewer: Peter Bundschuh (Köln) MSC: 11J82

Waldschmidt, Michel

Half a century of transcendence. (Un demi-siècle de transcendance.) (French) Zbl 0977.11030

Pier, Jean-Paul (ed.), Development of mathematics 1950-2000. Basel: Birkhäuser. 1121-1186 (2000).

Reviewer: Maurice Mignotte (Strasbourg) MSC: 11Jxx 11-02 11-03 11Dxx Waldschmidt, Michel

Algebraic independence of transcendental numbers: a survey. (English) Zbl 1072.11510 Bambah, R. P. (ed.) et al., Number theory. Basel: Birkhäuser (ISBN 3-7643-6259-6/hbk). Trends in Mathematics, 497-527 (2000).

Reviewer: N. Saradha (Mumbai) MSC: 11J85 11-02 Waldschmidt, Michel

Conjectures for large transcendence degree. (English) Zbl 0962.11028

Halter-Koch, Franz (ed.) et al., Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 497-520 (2000).

Reviewer: Peter Bundschuh (Köln) MSC: 11J82 11J85

Waldschmidt, Michel

Diophantine approximation on linear algebraic groups. Transcendence properties of the exponential function in several variables. (English) Zbl 0944.11024

Grundlehren der Mathematischen Wissenschaften. 326. Berlin: Springer. xxiii, 633 p. DM 169.00;

öS 1234.00; sFr. 153.00; £58.50; $ 94.00 (2000).

Reviewer: P.Bundschuh (Köln) MSC: 11J81 11-02 20G15 20G30

Waldschmidt, Michel

Transcendence and algebraic independence of Liouville-like numbers. (English) Zbl 0971.11041

Bull. Greek Math. Soc. 42, 119-133 (1999).

Reviewer: Peter Bundschuh (Köln) MSC: 11J85 11J13

Waldschmidt, Michel

The beginning of the theory of transcendental numbers. (Les débuts de la théorie des nombres transcendants.) (French) Zbl 1009.11003

Serfati, Michel (ed.), La recherche de la vérité. Paris: ACL-Les Éditions du Kangourou. L’Écriture des Mathématiques. 73-96 (1999).

Reviewer: R.Wallisser (Freiburg i.Br.) MSC: 11-03 01A55 11K60 11J81

Waldschmidt, Michel

Density measure of rational points on Abelian varieties. (English) Zbl 0931.11020 Nagoya Math. J. 155, 27-53 (1999).

Reviewer: M.Waldschmidt (Paris) MSC: 11G10 14G05 11J89 14K15 11G50

Waldschmidt, Michel

Integer valued entire functions on Cartesian products. (English) Zbl 0941.11028 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. 553-576 (1999).

Reviewer: R.Wallisser (Freiburg i.Br.) MSC: 11J81 32A15 30D15

Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel On the distribution of solutions of Thue’s equation. (English) Zbl 0934.11014 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. 35-46 (1999).

Reviewer: N.Tzanakis (Iraklion) MSC: 11D59

Waldschmidt, Michel

Transcendence and algebraic independence of values of modular functions.

(Transcendance et indépendance algébrique de valeurs de fonctions modulaires.) (French) Zbl 0930.11055

Gupta, Rajiv (ed.) et al., Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17–22, 1996. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 19, 353-375 (1999).

Reviewer: Jürgen Wolfart (Frankfurt /Main)

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MSC: 11J85 11J89 11J91 11F03

Waldschmidt, Michel

From simultaneous approximations to algebraic independence. (English) Zbl 0930.11056 Yıldırım, Cem Y. (ed.) et al., Number theory and its applications. Proceedings of a summer school at Bilkent University, Ankara, Turkey. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math.

204, 283-305 (1999).

Reviewer: P.Bundschuh (Köln) MSC: 11J85 11J13 11-02 11G50

Schlickewei, Hans Peter; Schmidt, Wolfgang M.; Waldschmidt, Michel Zeros of linear recurrence sequences. (English) Zbl 0926.11019 Manuscr. Math. 98, No.2, 225-241 (1999).

Reviewer: R.J.Stroeker (Rotterdam) MSC: 11D61 11B37

Waldschmidt, Michel

On the numbers e^e, e^e^2 and e^π^2. (English) Zbl 1011.11049 Hardy-Ramanujan J. 21, 27-34 (1998).

MSC: 11J82

Waldschmidt, Michel

Extrapolation with interpolation determinants. (English) Zbl 0938.11040

Srinivasa Rao, K. (ed.) et al., Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13-24, 1997. New Delhi: Allied Publishers Private Limited. 356-366 (1998).

Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11J99 11-02

Murty, V.Kumar (ed.); Waldschmidt, Michel (ed.)

Number theory. Proceedings of the international conference on discrete mathematics and number theory, Tiruchirapalli, India, January 3–6, 1996 on the occasion of the 10th anniversary of the Ramanujan Mathematical Society. (English) Zbl 0878.00049

Contemporary Mathematics. 210. Providence, RI: American Mathematical Society (AMS). vii, 399 p. $ 69.00 (1998).

MSC: 00B25 11-06 14-06

Roy, Damien; Waldschmidt, Michel

Simultaneous approximation and algebraic independence. (English) Zbl 0916.11042 Ramanujan J. 1, No.4, 379-430 (1997).

Reviewer: Guy Diaz (Saint-Etienne) MSC: 11J85 11J82 11J89 11J91 Waldschmidt, Michel

On the arithmetic nature of the values of modular functions. (Sur la nature arithmétique des valeurs de fonctions modulaires.) (French) Zbl 0908.11029

Séminaire Bourbaki. Volume 1996/97. Exposés 820–834. Paris: Société Mathématique de France, Astérisque. 245, 105-140, Exp. No.824 (1997).

Reviewer: Jürgen Wolfart (Frankfurt am Main) MSC: 11J89 11J85 11J91 11F11 33B15 11F03

Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) (French) Zbl 0895.11030

Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 753-796 (1997).

Reviewer: P.Bundschuh (Köln) MSC: 11J85

Waldschmidt, Michel

Diophantine approximation in commutative algebraic groups. I: An effective version of the algebraic subgroup. (Approximation diophantienne dans les groupes algébriques commutatifs. I: Une version effective du sous-groupe algébrique.) (French) Zbl 0880.11054 J. Reine Angew. Math. 493, 61-113 (1997).

Reviewer: M.Waldschmidt (Paris) MSC: 11J81 11G10 14G05 14L10 Waldschmidt, Michel

Integer valued functions on products. (English) Zbl 0885.11048 J. Ramanujan Math. Soc. 12, No.1, 1-24 (1997).

Reviewer: F.Gramain (Saint-Etienne) MSC: 11J81 30D15 32A15 Waldschmidt, Michel

Simultaneous approximation by products of powers of algebraic numbers.

(Approximation simultanée par des produits de puissances de nombres algébriques.) (French) Zbl 0863.11044

Acta Arith. 79, No.2, 137-162 (1997).

Reviewer: M.Waldschmidt (Paris) MSC: 11J13 11J81 11H60

Waldschmidt, Michel

Dependence of logarithms on commutative algebraic groups. (English) Zbl 0883.11036 Rocky Mt. J. Math. 26, No.3, 1199-1223 (1996).

Reviewer: P.Bundschuh (Köln) MSC: 11J81 14L10 11J85 11J89

Waldschmidt, Michel

Density of rational points on an algebraic group. Errata. (Densité des points rationnels sur un groupe algébrique (errata).) (French) Zbl 0853.11057

Exp. Math. 4, No.3, 255 (1995).

MSC: 11J81 14G05

Quadratic relations between logarithms of algebraic numbers. (English) Zbl 0860.11040 Proc. Japan Acad., Ser. A 71, No.7, 151-153 (1995).

Reviewer: P.Bundschuh (Köln) MSC: 11J81 11J85 Waldschmidt, Michel