Modular functions in analytic number theory (Markham mathematics series) - Softcover

Marvin Isadore Knopp

Softcover

ISBN 10: 0841010005 ISBN 13: 9780841010000

Publisher: Markham Pub. Co

Synopsis

Knopp's engaging book presents an introduction to modular functions in number theory by concentrating on two modular functions, $ ta( au)$ and $ artheta( au)$, 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: Markham Pub. Co
• Language: English
• ISBN 10: 0841010005
• ISBN 13: 9780841010000
• Binding: Paperback
• Number of pages: 150