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Abstract: In this paper, we prove that a binary definite quadratic form over F qt,where q is odd, is completely determined up to equivalence by the polynomialsit represents up to degree 3m-2, where m is the degree of its discriminant.
Wealso characterize, when q>13, all the definite binary forms over F qt thathave class number one.



Author: Jean Bureau, Jorge Morales

Source: https://arxiv.org/



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