论文标题
对角积分三元二元形式的局部密度在奇数
Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes
论文作者
论文摘要
我们为奇数素数的对角线积分三元二元形式的局部密度提供了公式。指数总和和二次高斯总和用于获得这些公式。这些公式(以及2种添加密度和Siegel的质量公式)可用于计算某些三元二次形式的表示数。
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.