%0 Journal Article %T Representations of Definite Binary Quadratic Forms over F_q[t] %A Jean Bureau %A Jorge Morales %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0905.3857v1