Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Abelian Varieties With Complex Multiplication And Modular FunctionsISBN13:9780691016566ISBN10:0691016569Author:Shimura, Goro (Author)Description: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 Of Several Variables, Including Siegel Modular Functions This Subject Is Closely Connected With The Zeta Function Of An Abelian Variety, Which Is Also Covered As A Main Theme In The Book The Third Topic Explored By Shimura Is The Various Algebraic Relations Among The Periods Of Abelian Integrals The Investigation Of Such Algebraicity Is Relatively New, But Has Attracted The Interest Of Increasingly Many Researchers Many Of The Topics Discussed In This Book Have Not Been Covered Before In Particular, This Is The First Book In Which The Topics Of Various Algebraic Relations Among The Periods Of Abelian Integrals, As Well As The Special Values Of Theta And Siegel Modular Functions, Are Treated Extensively Binding:Hardcover, HardcoverPublisher:PRINCETON UNIV PRPublication Date:1997-12-28Weight:1.13 lbsDimensions:0.75'' H x 9.45'' L x 6.3'' WNumber of Pages:232Language:English
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Book Title: Abelian Varieties With Complex Multiplication And Modular Fu...
Number of Pages: 232 Pages
Language: English
Publication Name: Abelian Varieties with Complex Multiplication and Modular Functions : (Pms-46)
Publisher: Princeton University Press
Publication Year: 1997
Subject: Number Theory
Item Height: 0.8 in
Type: Textbook
Item Weight: 18 Oz
Subject Area: Mathematics
Author: Goro Shimura
Item Length: 9.4 in
Item Width: 6.4 in
Series: Princeton Mathematical Ser.
Format: Hardcover
