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arXiv · 0905.3779

Isospectral Definite Ternary F_q[t]-Lattices

Jean Bureau·Jorge Morales
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Abstract

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.

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Jean Bureau, Jorge Morales. 2009-05-22. Isospectral Definite Ternary F_q[t]-Lattices. https://arxiv.org/abs/0905.3779

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