Remarks on a Formula of Ramanujan
arXiv:2309.00567
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.
Minor edits. 12 pages. To appear in Proc. A Royal Soc. Edinburgh