Extended Levett trigonometric series

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Bibliographic Details
Main Author:	Reynolds, Robert
Format:	Preprint
Published:	2023
Subjects:	Number Theory Primary 30E20, 33-01, 33-03, 33-04
Online Access:	Acceder al recurso
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_version_	1866915295225970688
author	Reynolds, Robert
author_facet	Reynolds, Robert
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2310_04543
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Extended Levett trigonometric series Reynolds, Robert Number Theory Primary 30E20, 33-01, 33-03, 33-04 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.
title	Extended Levett trigonometric series
topic	Number Theory Primary 30E20, 33-01, 33-03, 33-04
url	https://arxiv.org/abs/2310.04543

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