A two-variable Dirichlet series and its applications

DOI10.2989/16073606.2020.1818644zbMath1483.11195OpenAlexW3092696109MaRDI QIDQ5023620

Abdurrahman Ünal, Mehmet Cenkci

Publication date: 24 January 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1818644

zbMATH Keywords

Dirichlet seriesBernoulli numberszeta functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• Double zeta values, double Eisenstein series, and modular forms of level 2
• Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series
• Dirichlet series related to the Riemann zeta function
• New identities involving Bernoulli and Euler polynomials
• General convolution identities for Bernoulli and Euler polynomials
• A new method in the study of Euler sums
• A two variable Riemann zeta-function
• Two identities due to Ramanujan
• Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
• The analytic continuation and the order estimate of multiple Dirichlet series.
• Evaluation of double \(L\)-values.
• On multiple \(L\)-values
• On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials
• Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory
• Convolutions on the Ring of p -Adic Integers
• Euler Sums and Contour Integral Representations
• Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series
• Asymptotic series for double zeta, double gamma, and Hecke L-functions
• Character analogue of the Boole summation formula with applications
• Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series
• On Tornheim's double series
• Bernoulli Numbers and Zeta Functions
• Number Theory
• A new method for investigating Euler sums

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