Extended Levett trigonometric series
Number Theory
2025-05-22 v2
Abstract
An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3. These closed formulae are used to derive composite finite series involving special functions, trigonometric functions and fundamental constants. A short table summarizing some interesting results is produced.
Cite
@article{arxiv.2310.04543,
title = {Extended Levett trigonometric series},
author = {Robert Reynolds},
journal= {arXiv preprint arXiv:2310.04543},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2309.03342