Introduction To The Arithmetic Theory Of Automorphic Functions
Download and Read Introduction To The Arithmetic Theory Of Automorphic Functions full books in PDF, ePUB, and Kindle. Read online free Introduction To The Arithmetic Theory Of Automorphic Functions ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Introduction to the Arithmetic Theory of Automorphic Functions
Author | : Gorō Shimura |
Publisher | : Princeton University Press |
Total Pages | : 292 |
Release | : 1971-08-21 |
Genre | : Mathematics |
ISBN | : 9780691080925 |
Download Introduction to the Arithmetic Theory of Automorphic Functions Book in PDF, Epub and Kindle
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.
Introduction to the Arithmetic Theory of Automorphic Functions Related Books
Pages: 292
Pages: 0
Pages: 267
Pages: 112
Pages: 314