论文标题
双曲区域的雅各比符号中的一般双线性形式
General Bilinear Forms In The Jacobi Symbol Over Hyperbolic Regions
论文作者
论文摘要
我们在产品$ MN $受大参数界的区域中研究涉及jacobi二次符号$(\ frac {n} {m})$的平均值。我们表明,每当总和仅限于远离轴界定的无方整数时,这些平均值就会取消。
We study averages involving the Jacobi quadratic symbol $(\frac{n}{m})$ in regions where the product $mn$ is bounded by a large parameter. We show that these averages exhibit cancellation whenever the summation is restricted to square-free integers bounded away from the axes.