Counting integers that are the sums of three squares
Abstract
Legendre's important three squares theorem identifies exactly which natural numbers are sums of three squares of integers. In this article, we introduce the reader to some of the interesting distribution properties that these integers possess. Along the way, we bring into play a little known but elegant formula of M. C. Chakrabarti proved in 1940, which helps us in proving some of the distribution properties we exhibit.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Combinatorial Mathematics
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- The Mathematical Gazette
- Volume
- 110
- Issue
- 578
- Pages
- 280–286
- Publication date
- 19 January 2026
- Language
- EN