Finite trigonometric sums arising from Ramanujan's theta functions
Number Theory
2022-10-11 v1
Abstract
Two classes of finite trigonometric sums, each involving only 's, are evaluated in closed form. The previous and original proofs arise from Ramanujan's theta functions and modular equations.
Cite
@article{arxiv.2210.04659,
title = {Finite trigonometric sums arising from Ramanujan's theta functions},
author = {Bruce C. Berndt and Sun Kim and Alexandru Zaharescu},
journal= {arXiv preprint arXiv:2210.04659},
year = {2022}
}
Comments
10 pages