Vijaya Kumar Murty's Books

Non-Vanishing of L-Functions and Applications

By: Maruti Ram Murty,Vijaya Kumar Murty

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Non-Vanishing of L-Functions and Applications

By: Maruti Ram Murty,Vijaya Kumar Murty

Discussion of results on the nonvanishing of L-functions is largely based on the various mathematicians' original papers. The authors place special emphasis on L-functions of Dirichlet and Artin, and those that are attached to modular forms. They address theorems on nonvanishing that have immediate applications to general questions concerning equidistribution. They do not consider the Galois theoretic and the automorphic method. Annotation copyrighted by Book News, Inc., Portland, OR

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Page Count

216

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764358017

ISBN 13

9783764358013

Seminar on Fermat's Last Theorem

1993-1994, the Fields Institute for Research in the Mathematical Sciences, Toronto, Ontario, Canada

By: Vijaya Kumar Murty

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Seminar on Fermat's Last Theorem

1993-1994, the Fields Institute for Research in the Mathematical Sciences, Toronto, Ontario, Canada

By: Vijaya Kumar Murty

The most significant recent development in number theory is the work of Andrew Wiles on modular elliptic curves. Besides implying Fermat's Last Theorem, his work establishes a new reciprocity law. Reciprocity laws lie at the heart of number theory. Wiles' work draws on many of the tools of modern number theory and the purpose of this volume is to introduce readers to some of this background material. Based on a seminar held during 1993-1994 at the Fields Institute for Research in Mathematical Sciences, this book contains articles on elliptic curves, modular forms and modular curves, Serre's conjectures, Ribet's theorem, deformations of Galois representations, Euler systems, and annihilators of Selmer groups. All of the authors are well known in their field and have made significant contributions to the general area of elliptic curves, Galois representations, and modular forms. Features: Brings together a unique collection of number theoretic tools. Makes accessible the tools needed to understand one of the biggest breakthroughs in mathematics. Provides numerous references for further study.

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Page Count

278

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821803131

ISBN 13

9780821803134

Introduction to Abelian Varieties

By: Vijaya Kumar Murty

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Introduction to Abelian Varieties

By: Vijaya Kumar Murty

This book presents an elementary and self-contained approach to Abelian varieties, a subject that plays a central role in algebraic and analytic geometry, number theory, and complex analysis. The book is based on notes from a course given at Concordia University and would be useful for independent study or as a textbook for graduate courses in complex analysis, Riemann surfaces, number theory, or analytic geometry. Murty works mostly over the complex numbers, discussing the theorem of Abel-Jacobi and Lefschetz's theorem on projective embeddings. After presenting some examples, Murty touches on Abelian varieties over number fields, as well as the conjecture of Tate (Faltings's theorem) and its relation to Mordell's conjecture. References are provided to guide the reader in further study.

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Page Count

128

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821811797

ISBN 13

9780821811795

Non-Vanishing of L-Functions and Applications

By: Maruti Ram Murty,Vijaya Kumar Murty

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Non-Vanishing of L-Functions and Applications

By: Maruti Ram Murty,Vijaya Kumar Murty

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216

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764358017

ISBN 13

9783764358013

Number Theory

Ramanujan Mathematical Society, January 3-6, 1996, Tiruchirapalli, India

By: Michel Waldschmidt

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Number Theory

Ramanujan Mathematical Society, January 3-6, 1996, Tiruchirapalli, India

By: Michel Waldschmidt

To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory, and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.

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Page Count

410

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821806068

ISBN 13

9780821806067

Seminar on Fermat's Last Theorem

1993-1994, the Fields Institute for Research in the Mathematical Sciences, Toronto, Ontario, Canada

By: Vijaya Kumar Murty

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Seminar on Fermat's Last Theorem

1993-1994, the Fields Institute for Research in the Mathematical Sciences, Toronto, Ontario, Canada

By: Vijaya Kumar Murty

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Solve jigsaw puzzle

Age

Page Count

278

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821803131

ISBN 13

9780821803134

Book's by Vijaya Kumar Murty

Non-Vanishing of L-Functions and Applications

Non-Vanishing of L-Functions and Applications

Seminar on Fermat's Last Theorem

Seminar on Fermat's Last Theorem

Introduction to Abelian Varieties

Introduction to Abelian Varieties

Non-Vanishing of L-Functions and Applications

Non-Vanishing of L-Functions and Applications

Number Theory

Number Theory

Seminar on Fermat's Last Theorem

Seminar on Fermat's Last Theorem

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