ABSTRACT

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 element

chapter 1|10 pages

Introduction

chapter 2|50 pages

Elementary Methods

chapter 3|56 pages

Bernoulli Numbers

chapter 4|40 pages

Examples of Modular Forms

chapter 5|28 pages

Hecke’s Theory of Modular Forms

chapter 7|56 pages

Arithmetic Progressions

chapter 8|26 pages

Applications