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Graduate Student Number Theory Learning Seminar

Ternary Quadratic Forms at Odd Primes

Edna Jones

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.

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