Some integer-valued trigonometric sums

DOI10.1017/S001309150002383XzbMath0876.33001MaRDI QIDQ4348562

Simon J. Smith, Graeme J. Byrne

Publication date: 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Euler numberChebyshev polynomialtrigonometric sumpolynomial interpolationcotangent sumintegral-valued polynomial

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Interpolation in approximation theory (41A05) Exponential and trigonometric functions (33B10)

Related Items

Summation formulae on trigonometric functions ⋮ Human and automated approaches for finite trigonometric sums ⋮ Further developments of basic trigonometric power sums ⋮ Trigonometric sums and Riemann zeta function ⋮ New trigonometric sums by sampling theorem ⋮ Reciprocal relations for trigonometric sums ⋮ Basic trigonometric power sums with applications ⋮ The trace method for cotangent sums ⋮ Difference operators, Green's matrix, sampling theory and applications in signal processing ⋮ Explicit expressions for finite trigonometric sums ⋮ Two general families of integer-valued polynomials associated with finite trigonometric sums ⋮ Trigonometric sums by Hermite interpolations ⋮ Perturbed discrete Sturm-Liouville problems and associated sampling theorems ⋮ Explicit evaluations and reciprocity theorems for finite trigonometric sums ⋮ Another two families of integer-valued polynomials associated with finite trigonometric sums

Cites Work

• Some Diophantine relations involving circular functions of rational angles
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