论文标题

在乘法功能上的加权总和及其应用于GPY筛子

On a weighted sum over multiplicative functions and its applications to the GPY sieve

论文作者

Liu, Zihao

论文摘要

在本文中,我们研究了一类加权总和在乘法函数上的渐近分数,并应用结果来推断Yitang Zhang平滑的GPY筛子的更强的渐近形式,其系数表达式对数值计算友好。

In this paper, we investigate the asymptotics of a class of weighted sums over multiplicative functions and apply our results to deduce a stronger asymptotic form of Yitang Zhang's smoothened GPY sieve with coefficient expressions that are friendly to numerical computations.

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