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Quadratic form representations via generalized continuants
journal contribution
posted on 2015-01-01, 00:00 authored by C Delorme, Guillermo Pineda VillavicencioGuillermo Pineda VillavicencioH. J. S. Smith proved Fermat’s two-square theorem using the notion of palindromic continuants. In this paper we extend Smith’s approach to proper binary quadratic form representations in some commutative Euclidean rings, including rings of integers and rings of polynomials over fields of odd characteristic. Also, we present new deterministic algorithms for finding the corresponding proper representations.
History
Journal
Journal of integer sequencesVolume
18Issue
6Article number
15.6.4Pagination
1 - 22Publisher
AT&T Corp.Location
Basking Ridge, N.J.ISSN
1530-7638eISSN
1530-7638Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2015, AT&T Corp.Usage metrics
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