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(Hardback)

By: Goro Shimura

ISBN: 9780691016566
Readership/Audience: Professional and Scholarly
Publication Date: Mar 1998
Publisher: Princeton University Press
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Reciprocity laws of various kinds play a central role in number theory. This book states several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. It also covers the zeta function of an abelian variety as a main theme.


(Paperback)

By: Goro Shimura

ISBN: 9780691080925
Readership/Audience: Professional and Scholarly
Publication Date: Oct 1971
Publisher: Princeton University Press
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The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and, in particular, to elliptic modular forms with emphasis on their number-theoretical aspects.