Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes
Number Theory
2021-01-01 v2
Abstract
We give formulas for local densities of diagonal integral ternary quadratic forms at odd primes. Exponential sums and quadratic Gauss sums are used to obtain these formulas. These formulas (along with 2-adic densities and Siegel's mass formula) can be used to compute the representation numbers of certain ternary quadratic forms.
Keywords
Cite
@article{arxiv.2002.04140,
title = {Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes},
author = {Edna Jones},
journal= {arXiv preprint arXiv:2002.04140},
year = {2021}
}
Comments
26 pages, rewrote the introduction and streamlined some proofs