Basic trigonometric power sums with applications

DOI10.1007/s11139-016-9778-0zbMath1357.33003arXiv1601.07839OpenAlexW3104786418MaRDI QIDQ513368

M. Lawrence Glasser, Victor Kowalenko, Carlos Martins de Fonseca

Publication date: 6 March 2017

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

Full work available at URL: https://arxiv.org/abs/1601.07839

zbMATH Keywords

graphcyclegenerating functionpathbinomial coefficientclosed walkbasic trigonometric power sumcosinesine

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Exponential and trigonometric functions (33B10)

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Cites Work

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• Inequalities for the number of walks in graphs
• On a finite sum involving inverse powers of cosines
• Exact evaluations of finite trigonometric sums by sampling theorems
• The spectral approach to determining the number of walks in a graph
• On the location of the eigenvalues of Jacobi matrices
• Partial fractions and trigonometric identities
• Generating functions and generalized Dedekind sums.
• Summations on trigonometric functions
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• New trigonometric sums by sampling theorem
• Summation formulae on trigonometric functions
• The Combinatorial Trace Method in Action
• Closed-form summations of Dowker's and related trigonometric sums
• Closed-form summation of the Dowker and related sums
• On Verlinde's formula for the dimensions of vector bundles on moduli spaces
• Some integer-valued trigonometric sums
• Algebraic Combinatorics
• On a finite sum with powers of cosines

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