Article ID Journal Published Year Pages File Type
4594722 Journal of Number Theory 2009 17 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory