Overview

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.

Full Product Details

Author:   Krishnaswami Alladi
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2008
Volume:   17
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.640kg
ISBN:  

9781441926890

ISBN 10:   1441926895
Pages:   188
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

A Survey of Multipartitions Congruences and Identities.- Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook.- Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas.- Theta Functions in Complex Analysis and Number Theory.- Inverse Problems for Representation Functions in Additive Number Theory.- Mock Theta Functions Ranks and Maass Forms.- Elliptic Functions and Transcendence.

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