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Binary quadratic forms represented by a sum of nonzero squares.

Authors :
Ji, Yun-Seong
Kim, Myung-Hwan
Oh, Byeong-Kweon
Source :
Journal of Number Theory. Mar2015, Vol. 148, p257-271. 15p.
Publication Year :
2015

Abstract

In 1911, Dubouis determined all positive integers that are represented by a sum of k positive squares for any k ≥ 4 . In this article, we generalize Dubouis' result to the binary case. We determine all binary forms that are represented by a sum of k nonzero squares for any k ≥ 5 . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022314X
Volume :
148
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
99795429
Full Text :
https://doi.org/10.1016/j.jnt.2014.09.009