A note on correlations of arithmetic functions
Number Theory
2022-05-05 v7
Abstract
In this note we describe weight functions that exhibit a transitional behavior between weak and strong correlation with the Liouville function. We also describe a binary problem which may be considered as an interpolation between Chowla's conjecture for two-point correlations of the M\"obius function and the twin prime conjecture, in view of recent parity breaking results of K. Matom\"aki, M. Radziwi{\l}{\l} and T. Tao.
Keywords
Cite
@article{arxiv.1405.0682,
title = {A note on correlations of arithmetic functions},
author = {Sergei Preobrazhenskii and Tatyana Preobrazhenskaya},
journal= {arXiv preprint arXiv:1405.0682},
year = {2022}
}