Closed-form summation of the Dowker and related sums

DOI10.1063/1.2712895zbMath1137.33301OpenAlexW2026231993MaRDI QIDQ3442282

Hari M. Srivastava, Djurdje Cvijović

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2712895

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Exponential and trigonometric functions (33B10)

Related Items (9)

Human and automated approaches for finite trigonometric sums ⋮ Further developments of basic trigonometric power sums ⋮ Trigonometric sums and Riemann zeta function ⋮ Summation formulae for finite tangent and secant sums ⋮ Generalized cosecant numbers and trigonometric inverse power sums ⋮ Reciprocal relations for trigonometric sums ⋮ Basic trigonometric power sums with applications ⋮ Summation formulae for finite cotangent sums ⋮ Two general families of integer-valued polynomials associated with finite trigonometric sums

Cites Work

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• Stable pairs, linear systems and the Verlinde formula
• Analyticity and integrability in the chiral Potts model.
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• Heat kernel expansion on a generalized cone
• On Verlinde's formula for the dimensions of vector bundles on moduli spaces
• Some polynomials associated with Williams' limit formula for $\zeta (2n)$
• Some trigonometric identities encountered by McCoy and Orrick
• Some trigonometric identities. II

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