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).
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