Sums of four or fewer squares

Aashita Kesarwani; V. H. Moll

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Squares, Lagrange theorem, representations by squares

Aashita Kesarwani

Department of Mathematics, Tulane University, New Orleans, LA 70118

V. H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118

Abstract

A classical theorem of Lagrange states that every positive integer is the sum of four squares. Properties of the sets obtained by fixing three, two or one of these squares are discussed.

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Issue

Vol. 28 (2018)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Aashita Kesarwani, & V. H. Moll. (2025). Sums of four or fewer squares. Scientia Series A: Mathematical Sciences, 28, 55-62. https://doi.org/10.71712/