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Synopsis
Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of...
About the Author
Goro Shimura is Professor of Mathematics at Princeton University. He was awarded the Leroy P. Steele Prize in 1996 for lifetime achievement in mathematics by the American Mathematical Society. He is the author of Introduction to Arithmetic Theory of Automorphic Functions (Princeton).
Review
"[This book] is a beautifully written, self-contained and complete treatment of a subject of which G. Shimura is a founding master, and is a fundamental reference for any researcher or student of the antimetric theory of abelian varieties and modular functions, and in particular of its applications to class field theory." (Bulletin of the London Mathematical Society)
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- PublisherPrinceton University Press
- Publication date1997
- ISBN 10 0691016569
- ISBN 13 9780691016566
- BindingHardcover
- LanguageEnglish
- Number of pages232
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Abelian Varieties With Complex Multiplication and Modular Functions
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ISBN 10: 0691016569
ISBN 13: 9780691016566
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Abelian Varieties with Complex Multiplication and Modular Functions
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Princeton University Press, 1998
ISBN 10: 0691016569
ISBN 13: 9780691016566
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Abelian Varieties With Complex Multiplication and Modular Functions
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Abelian Varieties with Complex Multiplication and Modular Functions
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Abelian Varieties with Complex Multiplication and Modular Functions
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Abelian Varieties with Complex Multiplication and Modular Functions
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ISBN 10: 0691016569
ISBN 13: 9780691016566
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Abelian Varieties with Complex Multiplication and Modular Functions
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Abelian Varieties With Complex Multiplication and Modular Functions
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ISBN 10: 0691016569
ISBN 13: 9780691016566
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Abelian Varieties With Complex Multiplication and Modular Functions
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ISBN 13: 9780691016566
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 . Seller Inventory # 594881296
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