Values of the derivatives of the cotangent at rational multiples of \(\pi\)

DOI10.1016/j.aml.2008.03.013zbMath1163.26302OpenAlexW1998856779MaRDI QIDQ1027497

Djurdje Cvijović

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: http://vinar.vin.bg.ac.rs//bitstream/id/12417/3242.pdf

zbMATH Keywords

cotangent functionHurwitz zeta functionpolylogarithmBernoulli numbersBernoulli polynomialsSimpson's series multisection formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Elementary functions (26A09) Exponential and trigonometric functions (33B10)

Related Items

Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function, The trace method for cotangent sums, Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions, Closed-form formulae for the derivatives of trigonometric functions at rational multiples of \(\pi\), The Basel problem: a physicist's solution

Cites Work

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• On the Hurwitz function for rational arguments
• Dirichlet L-functions and character power sums