Finite trigonometric sums arising from Ramanujan’s theta functions

Bruce C. Berndt; Sun Kim; Alexandru Zaharescu

doi:10.1007/s11139-023-00778-2

Finite trigonometric sums arising from Ramanujan’s theta functions

Bruce C. Berndt, Sun Kim, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Two classes of finite trigonometric sums, each involving only sines, are evaluated in closed form. The previous and original proofs arise from Ramanujan’s theta functions and modular equations.

Original language	English (US)
Pages (from-to)	673-685
Number of pages	13
Journal	Ramanujan Journal
Volume	63
Issue number	3
DOIs	https://doi.org/10.1007/s11139-023-00778-2
State	Published - Mar 2024

Keywords

33B10
Finite trigonometric sums
Primary 11L03
Ramanujan’s modular equations
Theta functions

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1007/s11139-023-00778-2

Library availability

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abstract = "Two classes of finite trigonometric sums, each involving only sines, are evaluated in closed form. The previous and original proofs arise from Ramanujan{\textquoteright}s theta functions and modular equations.",

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author = "Berndt, {Bruce C.} and Sun Kim and Alexandru Zaharescu",

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Finite trigonometric sums arising from Ramanujan’s theta functions

Abstract

Keywords

ASJC Scopus subject areas

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