Sums of four or fewer squares | Scientia Series A: Mathematical Sciences

PDF

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.

Issue

Section

Articles

Creative Commons License

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/

Most read articles by the same author(s)

Leyda Almodovar, Alyssa N. Byrnes, Julie Fink, Xiao Guan, Aashita Kesarwani, Gary Lavigne, Victor H. Moll, Luis A. Medina, Isabelle Nogues, Eric Rowland, Amber Yuan, A closed-form solution might be given by a tree. Valuations of quadratic polynomials , Scientia Series A: Mathematical Sciences: Vol. 29 (2019)
T. Amdeberhan, V. H. Moll, V. G. Papanicolau, A family of palindromic polynomials , Scientia Series A: Mathematical Sciences: Vol. 24 (2013)
A. Dixit, V. H. Moll, The integrals in Gradshteyn and Ryzhik Part 28: The confluent hypergeometric function and Whittaker functions , Scientia Series A: Mathematical Sciences: Vol. 26 (2015)
Ivan Gonzalez, Karen T. Kohl, V. H. Moll, Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets , Scientia Series A: Mathematical Sciences: Vol. 25 (2014)
Luis A. Medina, V. H. Moll, The integrals in Gradshteyn and Ryzhik Part 27: More logarithmic examples , Scientia Series A: Mathematical Sciences: Vol. 26 (2015)