Murty, Vijaya Kumar 1956
Overview
Works:  24 works in 122 publications in 1 language and 1,969 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor, htt 
Publication Timeline
.
Most widely held works by
Vijaya Kumar Murty
The mathematical legacy of Srinivasa Ramanujan by
M. Ram Murty(
)
16 editions published between 2012 and 2013 in English and held by 430 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
16 editions published between 2012 and 2013 in English and held by 430 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
Nonvanishing of Lfunctions and applications by
Maruti Ram Murty(
Book
)
27 editions published between 1995 and 2014 in English and held by 425 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
27 editions published between 1995 and 2014 in English and held by 425 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
Number theory : Ramanujan Mathematical Society, January 36, 1996, Tiruchirapalli, India by International Conference on Discrete Mathematics and Number Theory(
Book
)
18 editions published between 1997 and 2012 in English and Undetermined and held by 271 WorldCat member libraries worldwide
18 editions published between 1997 and 2012 in English and Undetermined and held by 271 WorldCat member libraries worldwide
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
)
13 editions published between 1995 and 1996 in English and held by 269 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
13 editions published between 1995 and 1996 in English and held by 269 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
Introduction to Abelian varieties by
Vijaya Kumar Murty(
Book
)
14 editions published between 1986 and 1993 in English and held by 213 WorldCat member libraries worldwide
The book represents an introduction to the theory of abelian varieties with a view to arithmetic. The aim is to introduce some of the basics of the theory as well as some recent arithmetic applications to graduate students and researchers in other fields. The first part contains proofs of the AbelJacobi theorem, Riemann's relations and the Lefschetz theorem on projective embeddings over the complex numbers in the spirit of S. Lang's book Introduction to algebraic and abelian functions. Then the Jacobians of Fermat curves as well as some modular curves are discussed. Finally, as an application
14 editions published between 1986 and 1993 in English and held by 213 WorldCat member libraries worldwide
The book represents an introduction to the theory of abelian varieties with a view to arithmetic. The aim is to introduce some of the basics of the theory as well as some recent arithmetic applications to graduate students and researchers in other fields. The first part contains proofs of the AbelJacobi theorem, Riemann's relations and the Lefschetz theorem on projective embeddings over the complex numbers in the spirit of S. Lang's book Introduction to algebraic and abelian functions. Then the Jacobians of Fermat curves as well as some modular curves are discussed. Finally, as an application
Algebraic curves and cryptography(
Book
)
7 editions published between 2010 and 2012 in English and held by 202 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
7 editions published between 2010 and 2012 in English and held by 202 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
Number theory related to modular curves : Momose memorial volume : seminar in memory of Fumiyuki Momose, BarcelonaBostonTokyo
Number Theory, Barcelona(
Book
)
7 editions published in 2018 in English and held by 98 WorldCat member libraries worldwide
This volume is dedicated to the memory of Fumiyuki Momose. It mostly contains articles based on talks given at a conference in his honour that was held in 2012 in Barcelona
7 editions published in 2018 in English and held by 98 WorldCat member libraries worldwide
This volume is dedicated to the memory of Fumiyuki Momose. It mostly contains articles based on talks given at a conference in his honour that was held in 2012 in Barcelona
Number Theory Related to Modular Curves : Momose Memorial Volume by
JoanCarles Lario(
)
1 edition published in 2018 in English and held by 13 WorldCat member libraries worldwide
This volume contains the proceedings of the BarcelonaBostonTokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography. Papers contained in this volume cover these general themes in addition to discussing Momose's contribution
1 edition published in 2018 in English and held by 13 WorldCat member libraries worldwide
This volume contains the proceedings of the BarcelonaBostonTokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography. Papers contained in this volume cover these general themes in addition to discussing Momose's contribution
Characterization of additive incidence functions by
Maruti Ram Murty(
Book
)
3 editions published between 1974 and 1975 in English and held by 11 WorldCat member libraries worldwide
3 editions published between 1974 and 1975 in English and held by 11 WorldCat member libraries worldwide
Number Theory by
V. Kumar Murty(
)
1 edition published in 1997 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 8 WorldCat member libraries worldwide
Number theory(
Book
)
1 edition published in 1997 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 7 WorldCat member libraries worldwide
Algebraic cycles on abelian varieties by
Vijayakumar Pedaprolu 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
Mean values of derivatives of modular Lseries by
Maruti Ram Murty(
Book
)
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Seminar on Fermat's last theorem : 19931994. The Fields Institute for research in mathematical sciences, Toronto, Ontario,
Canada(
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
Base change and the BirchSwinnerton Dyer conjecture by
Maruti Ram Murty(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 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 2 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Zeros of Dirichlet Lfunctions by
R Balasubramanian(
Book
)
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Introduction to Abelian varieties by
Vijaya Kumar Murty(
Book
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
Number theory(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 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
 Lario, JoanCarles 1963 Author Editor
 Momose, Fumiyuki Honoree
 Fields Institute for Research in Mathematical Sciences
 Seminar on Fermat's Last Theorem (1993  1994, Toronto)
 Momose, Fumiyuki 2010 Honoree
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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 Forms, Modular Fourier analysis Functions, Special Geometry, Algebraic Group theory Incidence functions India Lattices, Distributive Lfunctions Mathematicians Mathematics Modular curves Modules (Algebra) Number theory Ramanujan Aiyangar, Srinivasa,
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Alternative Names
Murty, Kumar 1956
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 matemàtic indi
V. Kumar Murty matemático indio
V. Kumar Murty mathématicien indien
Vijaya Kumar Murty
Vijaya Kumar Murty Canadees wiskundige
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