Remarks on a Formula of Ramanujan
Number Theory
2023-12-27 v2
Abstract
Assuming an averaged form of Mertens' conjecture and that the ordinates of the non-trivial zeros of the Riemann zeta function are linearly independent over the rationals, we analyze the finer structure of the terms in a well-known formula of Ramanujan.
Keywords
Cite
@article{arxiv.2309.00567,
title = {Remarks on a Formula of Ramanujan},
author = {Andrés Chirre and Steven M. Gonek},
journal= {arXiv preprint arXiv:2309.00567},
year = {2023}
}
Comments
Minor edits. 12 pages. To appear in Proc. A Royal Soc. Edinburgh