Murty, Vijaya Kumar 1956
Overview
Works:  17 works in 96 publications in 1 language and 1,762 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor 
Classifications:  QA247, 516.352 
Publication Timeline
.
Most widely held works by
Vijaya Kumar Murty
Nonvanishing of Lfunctions and applications by
Maruti Ram Murty(
Book
)
21 editions published between 1995 and 2011 in English and held by 293 WorldCat member libraries worldwide
This book systematically develops some methods for proving the nonvanishing of certain Lfunctions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and nonspecialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features of the monograph is that it begins at a very basic level and quickly develops enough aspects of the theory to bring the reader to a point where the latest discoveries as are presented in the final chapters can be fully appreciated.  This book has been awarded the Ferran Sunyer I Balaguer 1996 prize ()The deepest results are contained in Chapter 6 on quadratic twists of modular Lfunctions with connections to the BirchSwinnertonDyer conjecture. () [It] is wellsuited and stimulating for the graduate level because there is a wealth of recent results and open problems, and also a number of exercices and references after each chapter. (Zentralblatt MATH) Each chapter is accompanied by exercices, and there is a fair amount of introductory material, general discussion and recommended reading. () it will be a useful addition to the library of any serious worker in this area. (Mathematical Reviews) () well written monograph, intended not only for researchers and graduate students specializing in number theory, but also for nonspecialists desiring to acquire an introduction to this difficult but very attractive and beautiful domain of investigation. (Mathematica)
21 editions published between 1995 and 2011 in English and held by 293 WorldCat member libraries worldwide
This book systematically develops some methods for proving the nonvanishing of certain Lfunctions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and nonspecialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features of the monograph is that it begins at a very basic level and quickly develops enough aspects of the theory to bring the reader to a point where the latest discoveries as are presented in the final chapters can be fully appreciated.  This book has been awarded the Ferran Sunyer I Balaguer 1996 prize ()The deepest results are contained in Chapter 6 on quadratic twists of modular Lfunctions with connections to the BirchSwinnertonDyer conjecture. () [It] is wellsuited and stimulating for the graduate level because there is a wealth of recent results and open problems, and also a number of exercices and references after each chapter. (Zentralblatt MATH) Each chapter is accompanied by exercices, and there is a fair amount of introductory material, general discussion and recommended reading. () it will be a useful addition to the library of any serious worker in this area. (Mathematical Reviews) () well written monograph, intended not only for researchers and graduate students specializing in number theory, but also for nonspecialists desiring to acquire an introduction to this difficult but very attractive and beautiful domain of investigation. (Mathematica)
Seminar on Fermat's last theorem : 19931994, the Fields Institute for Research in Mathematical Sciences, Toronto, Ontario,
Canada by
Toronto) Seminar on Fermat's Last Theorem (1993  1994(
Book
)
14 editions published between 1995 and 1996 in English and held by 258 WorldCat member libraries worldwide
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 19931994 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
14 editions published between 1995 and 1996 in English and held by 258 WorldCat member libraries worldwide
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 19931994 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
Number theory : Ramanujan Mathematical Society, January 36, 1996, Tiruchirapalli, India by International Conference on Discrete Mathematics and Number Theory(
Book
)
15 editions published between 1997 and 1998 in English and Undetermined and held by 242 WorldCat member libraries worldwide
15 editions published between 1997 and 1998 in English and Undetermined and held by 242 WorldCat member libraries worldwide
Introduction to Abelian varieties by
Vijaya Kumar Murty(
Book
)
8 editions published in 1993 in English and held by 186 WorldCat member libraries worldwide
8 editions published in 1993 in English and held by 186 WorldCat member libraries worldwide
Algebraic curves and cryptography(
Book
)
6 editions published in 2010 in English and held by 163 WorldCat member libraries worldwide
It is by now a wellknown paradigm that publickey cryptosystems can be built using finite Abelian groups and that algebraic geometry provides a supply of such groups through Abelian varieties over finite fields. Of special interest are the Abelian varieties that are Jacobians of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields. The topics covered include Schoof's \elladic point counting algorithm, the padic algorithms of Kedlaya and DenefVercauteren, explicit arithmetic on
6 editions published in 2010 in English and held by 163 WorldCat member libraries worldwide
It is by now a wellknown paradigm that publickey cryptosystems can be built using finite Abelian groups and that algebraic geometry provides a supply of such groups through Abelian varieties over finite fields. Of special interest are the Abelian varieties that are Jacobians of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields. The topics covered include Schoof's \elladic point counting algorithm, the padic algorithms of Kedlaya and DenefVercauteren, explicit arithmetic on
The mathematical legacy of Srinivasa Ramanujan by
Maruti Ram Murty(
Book
)
16 editions published between 2012 and 2013 in English and held by 67 WorldCat member libraries worldwide
Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G.H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan's essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21stcentury mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan's significant papers and show how these papers shaped the course of modern mathematics. Gives a panoramic view of the main contributions of Srinivasa Ramanujan; Presents a major theme of Ramanujan's work in nontechnical language; Provides an excellent introduction to Ramanujan's life and work.
16 editions published between 2012 and 2013 in English and held by 67 WorldCat member libraries worldwide
Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G.H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan's essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21stcentury mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan's significant papers and show how these papers shaped the course of modern mathematics. Gives a panoramic view of the main contributions of Srinivasa Ramanujan; Presents a major theme of Ramanujan's work in nontechnical language; Provides an excellent introduction to Ramanujan's life and work.
Characterization of additive incidence functions by
Maruti Ram Murty(
Book
)
2 editions published in 1974 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1974 in English and held by 9 WorldCat member libraries worldwide
Algebraic cycles on abelian varieties by
Vijaya Kumar Murty(
)
2 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
Introduction to Abelian varieties : Course : Papers by
Vijaya Kumar Murty(
Book
)
3 editions published between 1986 and 1993 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1986 and 1993 in English and held by 3 WorldCat member libraries worldwide
Seminar on Fermat's last theorem by Fermat's last theorem (Seminar)(
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Seminar on Fermat's Last Theorem (19931994 : Toronto, Ontario)(
Book
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Nonvanishing of Lfunctions and their derivatives by
Vijaya Kumar Murty(
Book
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
Base change and the BirchSwinnerton Dyer conjecture by
Maruti Ram Murty(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Zeros of Dirichlet Lfunctions by
R Balasubramanian(
Book
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
Number theory : Ramanujan Mathematical Society, January 36, 1996, Tiruchirapalli, India(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Mean values of derivatives of modular Lseries by
Maruti Ram Murty(
Book
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Murty, Maruti Ram Author
 Ramanujan Aiyangar, Srinivasa 18871920
 Waldschmidt, Michel 1946 Editor
 Ramanujan Mathematical Society
 Fields Institute for Research in Mathematical Sciences Publisher
 Seminar on Fermat's Last Theorem (1993  1994, Toronto)
 Fields Institute for Research in Mathematical Sciences (Toronto)
 Centre interuniversitaire en calcul mathématique algébrique
 International Conference on Discrete Mathematics and Number Theory. <1996, Tiruchirapalli>
 American Mathematical Society
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Associated Subjects
Abelian groups Abelian varieties Additive functions Algebra Algebraic varieties BirchSwinnertonDyer conjecture Coding theory Combinatorial analysis Commutative rings Cryptography Curves, Algebraic Dirichlet series Fermat's last theorem Fourier analysis Functions, Special Geometry, Algebraic Group theory Incidence functions India Lattices, Distributive Lfunctions Mathematicians Mathematics Modules (Algebra) Number theory Ramanujan Aiyangar, Srinivasa,
Alternative Names
Murty, V. Kumar.
Murty, V. Kumar 1956
Murty, V. Kumar (Vijaya Kumar), 1956
Murty, Vijaya Kumar
Murty, Vijaya Kumar 1956
V. Kumar Murty kanadischer Mathematiker
V. Kumar Murty matemático indio
V. Kumar Murty mathématicien indien
Vijaya Kumar Murty
Vijaya Kumar Murty Canadees wiskundige
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