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Sums of distinct integral squares in real quadratic fields
Authors:Byeong Moon Kim  Poo-Sung Park
Affiliation:1. Department of Mathematics, Gangnung-Wonju National University, Gangneung Daehangno 120, Gangneung City, Gangwon Province, 210-702, Republic of Korea;2. Department of Mathematics Education, Kyungnam University, Changwon, 631-701, Republic of Korea
Abstract:We show that the elements of the ring of integers of real quadratic fields which are sums of integral squares are in fact sums of distinct squares, provided their norm is large enough.
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