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Surveys in Number Theory

Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9780387785103
Veröffentl:
2009
Seiten:
188
Autor:
Krishnaswami Alladi
Serie:
Developments in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

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).
"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)."
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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