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Goro Shimura Introduction to Arithmetic Theory of Automorphic Functi (Paperback)
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Item specifics
- Condition
- Book Title
- Introduction to Arithmetic Theory of Automorphic Functions
- Title
- Introduction to Arithmetic Theory of Automorphic Functions
- ISBN-10
- 0691080925
- EAN
- 9780691080925
- ISBN
- 9780691080925
- Genre
- Science Nature & Math
- Release Date
- 21/08/1971
- Release Year
- 1971
- Country/Region of Manufacture
- US
- Item Length
- 152mm
- Publication Year
- 1971
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Introduction to Arithmetic Theory of Automorphic Functions
- Item Height
- 229mm
- Publisher
- Princeton University Press
- Item Width
- 152mm
- Subject
- Mathematics
- Item Weight
- 425g
- Number of Pages
- 288 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Princeton University Press
ISBN-13
9780691080925
eBay Product ID (ePID)
94521668
Product Key Features
Publication Name
Introduction to Arithmetic Theory of Automorphic Functions
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
1971
Type
Textbook
Number of Pages
288 Pages
Dimensions
Item Height
229mm
Item Width
152mm
Item Weight
425g
Additional Product Features
Country/Region of Manufacture
United States
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- GB 864 1548 11
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eBay item number:285540544862
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