Modular functions in analytic number theory (Markham mathematics series)

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9780841010000: Modular functions in analytic number theory (Markham mathematics series)

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.

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Knopp, Marvin Isadore
Published by Markham Pub. Co (1970)
ISBN 10: 0841010005 ISBN 13: 9780841010000
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Book Description Markham Pub. Co, 1970. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P110841010005

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Marvin Isadore Knopp
Published by Markham Pub. Co (1970)
ISBN 10: 0841010005 ISBN 13: 9780841010000
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Book Description Markham Pub. Co, 1970. Hardcover. Book Condition: New. book. Bookseller Inventory # M0841010005

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