Trigonometric sums through Ramanujan's theory of theta functions

DOI10.1007/s11139-020-00349-9zbMath1483.11168OpenAlexW3132707220MaRDI QIDQ2115265

K. R. Vasuki, M. V. Yathirajsharma, K. N. Harshitha

Publication date: 15 March 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00349-9

zbMATH Keywords

modular equationstrigonometric sumsRamanujan's general theta function

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Trigonometric and exponential sums (general theory) (11L03) Elliptic integrals as hypergeometric functions (33C75)

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On Gosper's \(\mathit{\Pi}_q\) and Lambert series identities ⋮ Human and automated approaches for finite trigonometric sums ⋮ Finite trigonometric sums arising from Ramanujan's theta functions ⋮ On certain \(q\)-trigonometric identities analogous to that of Gosper's ⋮ Unnamed Item

Cites Work

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