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arXiv · 0905.3857

Representations of Definite Binary Quadratic Forms over F_q[t]

Jean Bureau·Jorge Morales
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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.

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Jean Bureau, Jorge Morales. 2009-05-23. Representations of Definite Binary Quadratic Forms over F_q[t]. https://arxiv.org/abs/0905.3857

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