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25 Remote Warehouse Mathematics- Number Theory

This title in other editions

Developments in Mathematics #17: Surveys in Number Theory

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Developments in Mathematics #17: Surveys in Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

0). Preface.- 1). A Survey of Multipartitions: Congruences and Identities.- 2). Koshliakov's Formula and Guinand's Formula in Ramanujan's Lost Notebook.- 3). Exploiting Symmetries: Alternating Sign Matrices and the Weyl Character Formulas.- 4). Theta Functions in Complex Analysis and Number Theory.- 5). Inverse Problems for Representation Functions in Additive Number Theory.- 6). Mock Theta Functions, Ranks, and Maass Forms.- 7). Elliptic Functions and Transcendence.

Product Details

ISBN:
9781441926890
Author:
Alladi, Krishnaswami
Publisher:
Springer
Location:
New York, NY
Subject:
Number Theory
Subject:
Ramanujan s Lost Notebook
Subject:
Weyl character formulas
Subject:
maass forms
Subject:
mock theta functions
Subject:
representation functions
Subject:
Transcendence
Subject:
Special functions
Subject:
Functions of a complex variable.
Subject:
Mathematics-Number Theory
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Functions, special
Subject:
Functions of complex variables
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2008
Series:
Developments in Mathematics
Series Volume:
17
Publication Date:
20101206
Binding:
TRADE PAPER
Language:
English
Pages:
198
Dimensions:
235 x 155 mm 640 gr

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Developments in Mathematics #17: Surveys in Number Theory New Trade Paper
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