Number Theory With Applications
Published on 1. February 1996
Book
Hardback
244 pages
978-981-02-2226-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 18 mm
Weight
510 gr
ISBN-13
978-981-02-2226-0 (9789810222260)
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Schweitzer Classification
Person
Content
Finite fields; the Weil conjectures; local and global fields; the Riemann-Roch theorem; zeta and L-functions; character sum estimates and idele class characters; the theory of modular forms; automorphic forms and automorphic representations; applications.