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.
Citation
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
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