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Spring 2009 Representations of definite binary quadratic forms over Fq[t]
Jean Bureau, Jorge Morales
Illinois J. Math. 53(1): 237-249 (Spring 2009). DOI: 10.1215/ijm/1264170848

Abstract

In this paper, we prove that a binary definite quadratic form over $\mathbf{F}_q [t]$, where $q$ is odd, is completely determined up to equivalence by the polynomials it represents up to degree $3m-2$, where $m$ is the degree of its discriminant. We also characterize, when $q>13$, all the definite binary forms over $\mathbf{F}_q [t]$ that have class number one.

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Jean Bureau. Jorge Morales. "Representations of definite binary quadratic forms over Fq[t]." Illinois J. Math. 53 (1) 237 - 249, Spring 2009. https://doi.org/10.1215/ijm/1264170848

Information

Published: Spring 2009
First available in Project Euclid: 22 January 2010

zbMATH: 1234.11044
MathSciNet: MR2584944
Digital Object Identifier: 10.1215/ijm/1264170848

Subjects:
Primary: 11D09, 11E12, 11E25, 11E41

Rights: Copyright © 2009 University of Illinois at Urbana-Champaign

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Vol.53 • No. 1 • Spring 2009
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