Graduate Student Number Theory Learning Seminar
Ternary Quadratic Forms at Odd Primes
Location: Hill 423
Date & time: Wednesday, 19 February 2020 at 9:20AM - 10:20AM
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.