SUMS OF DISTINCT INTEGRAL SQUARES IN $\mathbb{Q}(\sqrt{2})$, $\mathbb{Q}(\sqrt{3})$ AND $\mathbb{Q}(\sqrt{6})$

Authors

  • Ji Young Kim

Keywords:

totally positive integer, sum of distinct squares

Abstract

In this article, we determine all the totally positive integers of $\mathbb{Q}(\sqrt{m})$ which can be represented as sums of distinct integral squares, where m= 2, 3, 6. DOI: 10.1017/S0004972711002607

Published

2011-10-18

Issue

Vol. 85 No. 1 (2012)

Section

Articles
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