Number Theory With Applications
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€31.99
A01=Wen-ching Li
Author_Wen-ching Li
Automorphic Forms
Automorphic Representations
Category=PBH
Character Sum Estimates
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Idele Class Characters
Local and Global Fields
Modular Forms
Ramanujan Graphs
Riemann-Roch Theorem
Weil Conjectures
Zeta and L-Functions
Product details
- ISBN 9789810222260
- Publication Date: 01 Feb 1996
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
