Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes

Edna Jones

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arXiv · 2002.04140

Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes

Edna Jones

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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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Edna Jones. 2020-02-10. Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes. https://arxiv.org/abs/2002.04140

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