published in conjunction with Iwanami Shoten Publishers. used hardcover in a dust jacket. jacket is slightly worn about the edges, but with no tears and not price clipped. pages and binding are clean, straight and tight. there are no marks to the text or other serious flaws.

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Bibliographic Details

Title

Introduction to the Arithmetic Theory of Automorphic Functions (Publications of the Mathematical Society of Japan, Vol. 11)

Publisher

Princeton University Press August 1971

Publication Date

1971

Language

English

ISBN 10

0691080925

ISBN 13

9780691080925

Binding

Hardcover

Condition

Dust Jacket Condition

Very Good

Seller catalogs

MATH misc. and higher

About this title

Synopsis

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.

After two chapters geared toward elementary levels, there follows a detailed treatment of the theory of Hecke operators, which associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed. The main question is the construction of abelian extensions of certain algebraic number fields, which is traditionally called "Hilbert's twelfth problem." Another advanced topic is the determination of the zeta function of an algebraic curve uniformized by modular functions, which supplies an indispensable background for the recent proof of Fermat's last theorem by Wiles.

About the Author

Goro Shimura is Professor of Mathematics at Princeton University.

"About this title" may belong to another edition of this title.

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Magus Enterprises, Inc, an S Corporation.
1408 NE 42nd Street. Seattle, WA 98155
magus@seanet.com 206-633-1800
Chris Weimer and Hanna McElroy, owners

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