Series over Bessel functions as series in terms of Riemann's zeta function
Number Theory
2024-07-19 v1 Classical Analysis and ODEs
Abstract
Relying on the Hurwitz formula, we find sums of the series over sine and cosine functions through the Hurwitz zeta function. Using another summation formula for these trigonometric series, we find finite sums of some series over the Riemann zeta function.
Keywords
Cite
@article{arxiv.2407.13004,
title = {Series over Bessel functions as series in terms of Riemann's zeta function},
author = {Slobodan B. Tričković and Miomir S. Stanković},
journal= {arXiv preprint arXiv:2407.13004},
year = {2024}
}