Values of certain Dirichlet series and higher derivative formulas of trigonometric functions
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Publication:6540615
DOI10.1142/S1793042124500519MaRDI QIDQ6540615
Publication date: 17 May 2024
Published in: International Journal of Number Theory (Search for Journal in Brave)
Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Transcendence (general theory) (11J81) Hurwitz and Lerch zeta functions (11M35)
Cites Work
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- The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
- Derivative polynomials and closed-form higher derivative formulae
- A note on the arithmetic nature of some infinite series
- The critical values of certain Dirichlet series
- Series associated with the zeta and related functions
- A Generalization of Euler's Theorem for <em>ζ</em>(2<em>k</em>)
- 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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