- 244 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Number Theory with Applications
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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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
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 Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Contents
- Preface
- CHAPTER 1 Finite Fields
- CHAPTER 2 Weil Conjectures
- CHAPTER 3 Local and Global Fields
- CHAPTER 4 The Riemann-Roch Theorem
- CHAPTER 5 Zeta and L-functions
- CHAPTER 6 Character Sum Estimates and Idele Class Characters
- CHAPTER 7 The Theory of Modular Forms
- CHAPTER 8 Automorphic Forms and AutomorphicRepresentations
- CHAPTER 9 Applications
- Index