Article

# Isospectral definite ternary Fq[t]-lattices

Mathematics Department, Louisiana State University, Baton Rouge, LA 70803-4918, USA
Journal of Number Theory DOI:10.1016/j.jnt.2009.03.008 pp.2457-2473
Source: arXiv

ABSTRACT We prove that the representations numbers of a ternary definite integral quadratic form defined over Fq[t], where Fq 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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### Keywords

finite field

representations numbers

successive minima