Isospectral Definite Ternary F_q[t]-Lattices
Number Theory
2011-11-15 v1
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.
Cite
@article{arxiv.0905.3779,
title = {Isospectral Definite Ternary F_q[t]-Lattices},
author = {Jean Bureau and Jorge Morales},
journal= {arXiv preprint arXiv:0905.3779},
year = {2011}
}
Comments
To be published in J. Number Theory