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Surveys in Number Theory de Krishnaswami Alladi

Surveys in Number Theory: Developments in Mathematics, cartea 17

Editat de Krishnaswami Alladi
en Limba Engleză Paperback – 6 dec 2010
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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Specificații

ISBN-13: 9781441926890
ISBN-10: 1441926895
Pagini: 200
Ilustrații: X, 188 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of hardcover 1st ed. 2008
Editura: Springer
Colecția Springer
Seria Developments in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Surveys on major developments in modern number theory Self-contained chapters presented by distinguished mathematicians in the field