Number Theory with Applications
eBook - PDF

Number Theory with Applications

  1. 244 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Number Theory with Applications

Book details
Table of contents
Citations

About This Book

Novel and important applications of number theory to graph theory and vice versa had been made in the past decade. The two main tools used are based on the estimates of character sums and the estimates of the eigenvalues of Hecke operators, both are rooted in the celebrated Weil conjectures settled by Deligne in 1973. The purpose of this book is to give, from scratch, a coherent and comprehensive introduction to the topics in number theory related to the central tools, with the ultimate goal of presenting their applications. This book includes many important subjects in number theory, such as Weil conjectures, Riemann-Roch theorem, L-functions, character sum estimates, modular forms, and representation theory.

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Yes, you can access Number Theory with Applications by W C Winnie Li in PDF and/or ePUB format, as well as other popular books in Mathematik & Zahlentheorie. We have over one million books available in our catalogue for you to explore.

Information

Publisher
WSPC
Year
1996
ISBN
9789813104853
Topic
Mathematik
Subtopic
Zahlentheorie

Table of contents

  1. Contents
  2. Preface
  3. CHAPTER 1 Finite Fields
  4. CHAPTER 2 Weil Conjectures
  5. CHAPTER 3 Local and Global Fields
  6. CHAPTER 4 The Riemann-Roch Theorem
  7. CHAPTER 5 Zeta and L-functions
  8. CHAPTER 6 Character Sum Estimates and Idele Class Characters
  9. CHAPTER 7 The Theory of Modular Forms
  10. CHAPTER 8 Automorphic Forms and AutomorphicRepresentations
  11. CHAPTER 9 Applications
  12. Index