Representations of Definite Binary Quadratic Forms over F_q[t]
Number Theory
2011-11-15 v1
Abstract
In this paper, we prove that a binary definite quadratic form over 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 F_q[t] that have class number one.
Cite
@article{arxiv.0905.3857,
title = {Representations of Definite Binary Quadratic Forms over F_q[t]},
author = {Jean Bureau and Jorge Morales},
journal= {arXiv preprint arXiv:0905.3857},
year = {2011}
}
Comments
To appear in Illinois J. Math