ENGLISH

Surveys in Number Theory

By Krishnaswami Alladi (eds.) , George E. Andrews (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2008
ISBN
9780387785097, 0387785094, 9780387785103
DOI
10.1007/978-0-387-78510-3
LCC
QA241 .S8295 2008
Open Library ID
OL22535570M
Language
english
Format
PDF
Filesize
1 MB (1318471 bytes)
Series
Developments in Mathematics 17
Edition
1
Pages
188\193
Orientation
no
Scanned
no
Time added
2011-06-04 13:46:07
Functions of a Complex Variable; Special Functions

Description

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.

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