On a weighted sum over multiplicative functions and its applications to the GPY sieve
Number Theory
2023-03-09 v3
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.
Keywords
Cite
@article{arxiv.2210.01671,
title = {On a weighted sum over multiplicative functions and its applications to the GPY sieve},
author = {Zihao Liu},
journal= {arXiv preprint arXiv:2210.01671},
year = {2023}
}