Isospectral Definite Ternary F_q[t]-Lattices

Details Isospectral Definite Ternary F_q[t]-Lattices Isospectral Definite Ternary F_q[t]-Lattices

2009-05-22

arxiv.org/abs/0905.3779v1

Journal of Number Theory 129 (2009), 2457-2473

Mathematics

Number Theory

To be published in J. Number Theory

Scientific paper

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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