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Binary quadratic forms represented by a sum of nonzero squares.
- 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]
- Subjects :
- *QUADRATIC forms
*ZERO (The number)
*BINARY number system
*GENERALIZATION
*INTEGERS
Subjects
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