Modular Functions in Analytic Number Theory (AMS Chelsea Publishing) - Hardcover

Marvin I. Knopp

Hardcover

ISBN 10: 0821844881 ISBN 13: 9780821844885

Publisher: American Mathematical Society, 2008

Synopsis

Knopp's engaging book presents an introduction to modular functions in number theory by concentrating on two modular functions, $\eta(\tau)$ and $\vartheta(\tau)$, and their applications to two number-theoretic functions, $p(n)$ and $r_s(n)$. They are well chosen, as at the heart of these particular applications to the treatment of these specific number-theoretic functions lies the general theory of automorphic functions, a theory of far-reaching significance with important connections to a great many fields of mathematics. The book is essentially self-contained, assuming only a good first-year course in analysis. The excellent exposition presents the beautiful interplay between modular forms and number theory, making the book an excellent introduction to analytic number theory for a beginning graduate student.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2008
• ISBN 10: 0821844881
• ISBN 13: 9780821844885
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 154