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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 Villavicencio
H. 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 sequences

Volume

18

Article number

15.6.4

Pagination

1-22

Location

Basking Ridge, N.J.

ISSN

1530-7638

eISSN

1530-7638

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2015, AT&T Corp.

Issue

6

Publisher

AT&T Corp.