Introduction to the Arithmetic Theory of Automorphic Functions

Released on by Gorō Shimura
preview-18

  • Introduction to the Arithmetic Theory of Automorphic Functions Book Detail

  • Author : Gorō Shimura
  • Release Date : 1971-08-21
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 292
  • ISBN 13 : 9780691080925
  • File Size : 59,59 MB
DOWNLOAD BOOK

Introduction to the Arithmetic Theory of Automorphic Functions by Gorō Shimura PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Introduction to the Arithmetic Theory of Automorphic Functions books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.