Generalized Bernoulli numbers, cotangent power sums, and higher-order arctangent numbers

DOI10.1007/978-3-031-10796-2_12OpenAlexW4313344140MaRDI QIDQ2696034

Brad Isaacson

Publication date: 5 April 2023

Full work available at URL: https://doi.org/10.1007/978-3-031-10796-2_12

zbMATH Keywords

generalized Bernoulli numberscharacter sumscotangent sumstrigonometric sumsarctangent numbersimprimitive character sums

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Trigonometric and exponential sums (general theory) (11L03) Elliptic functions and integrals (33E05)

Cites Work

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• Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums
• Higher-order tangent and secant numbers
• Identities involving trigonometric functions and Bernoulli numbers
• Dirichlet L-functions and character power sums
• Coefficient Identities for Powers of Taylor and Dirichlet Series
• An elementary proof of some character sum identities of Apostol