Surveys in Number Theory by Krishnaswami Alladi

Surveys in Number Theory by Krishnaswami Alladi

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Summary

Number theory has a wealth of long-standing problems, the study of which has led to developments in many areas of mathematics. This volume, written by distinguished mathematicians, consists of seven significant chapters on number theory and related topics.

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Surveys in Number Theory by Krishnaswami Alladi

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). All of the surveys were outgrowths of featured talks given during the Special Year in Number Theory and Combinatorics at the University of Florida, Gainesville, 2004-2005, and describe major progress on a broad range of topics. This volume is intended for mathematicians and graduate students interested in number theory and related areas.
Krishnaswami Alladi is professor of mathematics at the University of Florida, where he was the department chairman during 1998-2008. He received his PhD from the University of California in 1978. His research area is number theory, where he has made notable contributions. In 1987, during the Ramanujan Centennial in India, he got the inspiration to launch The Ramanujan Journal (now published by Springer), devoted to all areas of research influenced by Ramanujan. He annually writes articles about Ramanujan and his place in the world of mathematics, being published in several national dailies. He is presently editor-in-chief of The Ramanujan Journal, editor of the book series Developments in Mathematics (Springer), and associated editor of Notices of the American Mathematical Society.
SKU Unavailable
ISBN 13 9780387785097
ISBN 10 0387785094
Title Surveys in Number Theory
Author Krishnaswami Alladi
Series Developments In Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Springer-Verlag New York Inc.
Year published 2008-07-31
Number of pages 188
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.