Alladi / Alladi. Surveys in Number Theory
2008
ISBN: 978-0-387-78510-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 188 Seiten, eBook
Reihe: Developments in Mathematics
ISBN: 978-0-387-78510-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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 (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).
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
