Vol. 28 (2018)
Articles

Sums of four or fewer squares

Aashita Kesarwani
Department of Mathematics, Tulane University, New Orleans, LA 70118
V. H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118

Published 2018-10-28

Keywords

  • Squares,
  • Lagrange theorem,
  • representations by squares

How to Cite

Sums of four or fewer squares. (2018). Scientia Series A: Mathematical Sciences, 28, 55-62. https://revistas.usm.cl/scientia/article/view/200

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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