Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes
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.