Sums of squares of integers
By: Carlos J. Moreno and Samuel S. Wagstaff, Jr.
Contributors: Wagstaff, Samuel S.
Series: Discrete mathematics and its applications
Publisher: Chapman & Hall/CRC
Published: 2005
Place of publication: Boca Raton
Language: eng
Number of pages: 354
Subjects: Exponential sums.; Integrals.; Forms, Modular.
Description: "Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts"--Namely, it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares."--Jacket.
Notes: Includes bibliographical references and index.