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Abelian Varieties with Complex Multiplication and Modular Functions
Goro Shimura
€ 181.21
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Description for Abelian Varieties with Complex Multiplication and Modular Functions
Hardcover. 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. Series: Princeton Mathematical Series. Num Pages: 232 pages. BIC Classification: PBF; PBKF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 164 x 241 x 22. Weight in Grams: 518.
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 his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions ... Read more
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 his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions ... Read more
Product Details
Format
Hardback
Publication date
1997
Publisher
Princeton University Press United States
Number of pages
304
Condition
New
Series
Princeton Mathematical Series
Number of Pages
232
Place of Publication
New Jersey, United States
ISBN
9780691016566
SKU
V9780691016566
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Goro Shimura
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).
Reviews for Abelian Varieties with Complex Multiplication and Modular Functions
"[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
Bulletin of the London Mathematical Society