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

Published 23 Aug 2022 in math.NT | (2210.01671v3)

Abstract: 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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Authors (1)

Zihao Liu

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