Chebyshev's Bias for Ramanujan's $\tau$-function via the Deep Riemann Hypothesis
Number Theory
2022-03-28 v2
Abstract
The authors assume the Deep Riemann Hypothesis to prove that a weighted sum of Ramanujan's -function has a bias to being positive. This phenomenon is an analogue of Chebyshev's bias.
Cite
@article{arxiv.2203.12791,
title = {Chebyshev's Bias for Ramanujan's $\tau$-function via the Deep Riemann Hypothesis},
author = {Shin-ya Koyama and Nobushige Kurokawa},
journal= {arXiv preprint arXiv:2203.12791},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2203.12266