Evaluations and relations for finite trigonometric sums

DOI10.1007/s40687-024-00469-4zbMATH Open1545.11072MaRDI QIDQ6606919

Alexandru Zaharescu, Sun Kim, Bruce C. Berndt

Publication date: 17 September 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Dedekind sumsRamanujan sumsreciprocity theoremsfinite trigonometric sumsFranel-Landau criterion

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Exponential and trigonometric functions (33B10)

Cites Work

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• Finite trigonometric sums and class numbers
• Reciprocity theorems for Dedekind sums and generalizations
• Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar, B. M. Wilson.
• Bemerkungen zu der vorstehenden Abhandlung von Herrn Franel.
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• Trigonometric sums through Ramanujan's theory of theta functions
• Generalized Eisenstein series and modified Dedekind sums.
• Les suites de Farey et le problème des nombres premiers.
• Human and automated approaches for finite trigonometric sums
• Exact evaluations and reciprocity theorems for finite trigonometric sums
• Finite trigonometric sums arising from Ramanujan's theta functions
• Note on a simple trigonometric equality

Related Items (1)

On a finite sum of cosecants appearing in various problems

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