Values of certain Dirichlet series and higher derivative formulas of trigonometric functions

DOI10.1142/S1793042124500519MaRDI QIDQ6540615

Allen Lin, Dominic Lanphier

Publication date: 17 May 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Dirichlet seriesBernoulli numbersEulerian numbersBernoulli polynomialsEuler polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Transcendence (general theory) (11J81) Hurwitz and Lerch zeta functions (11M35)

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• A note on the arithmetic nature of some infinite series
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• Algebraic structures of Euler numbers
• Another Proof of <tex-math> ${\zeta(2)=\frac{\pi^2}{6}}$ </tex-math> Using Double Integrals
• EVALUATION OF CERTAIN ALTERNATING SERIES
• Elementary Dirichlet Series and Modular Forms
• A Note on Alternating Permutations
• A New Approach to Bernoulli Polynomials
• Euler and the Zeta Function
• Coefficient Identities for Powers of Taylor and Dirichlet Series
• Evaluation of Dirichlet Series
• The Curious History of Faa di Bruno's Formula
• Eulerian Numbers
• ON THE TRANSCENDENCE OF CERTAIN INFINITE SERIES
• Linear forms in the logarithms of algebraic numbers
• In Euler's footsteps: evaluation of some series involving \(\zeta(2)\) and \(G\)

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