Approximations Diophantiennes et Nombres Transcendants. Diophantine Approximations and Transcendental Numbers
Approximations Diophantiennes et Nombres Transcendants. Diophantine Approximations and Transcendental Numbers

Author: Patrice Philippon

Publisher: Walter de Gruyter

Published: 2011-09-27

Total Pages: 321

ISBN-13: 3110861445

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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Approximations diophantiennes et nombres transcendants
Approximations diophantiennes et nombres transcendants

Author: Patrice Philippon

Publisher: de Gruyter

Published: 1992

Total Pages: 322

ISBN-13:

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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Diophantine Approximation on Linear Algebraic Groups
Diophantine Approximation on Linear Algebraic Groups

Author: Michel Waldschmidt

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 649

ISBN-13: 3662115697

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The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.

Surveys in Number Theory
Surveys in Number Theory

Author: Krishnaswami Alladi

Publisher: Springer Science & Business Media

Published: 2009-03-02

Total Pages: 193

ISBN-13: 0387785108

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Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).

Number Theory
Number Theory

Author: Hans P. Schlickewei

Publisher: Springer

Published: 2006-11-14

Total Pages: 276

ISBN-13: 3540462058

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The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution.