arXiv subjects

Jean Bureau

Publications and source records attributed to Jean Bureau.

2 recordsLinked to original sources

arXiv2009

Representations of Definite Binary Quadratic Forms over F_q[t]

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.

math.NT↗

arXiv2009

Isospectral Definite Ternary F_q[t]-Lattices

We prove that the representations numbers of a ternary definite integral quadratic form defined over F_q[t], where F_q is a finite field of odd characteristic, determine its integral equivalence class when q is large enough with respect to its successive minima. Equivalently, such a quadratic form is determined up to integral isometry by its theta series.

math.NT↗