Zeta identities in parameter form

DOI10.1007/s00025-018-0944-0zbMath1468.11188OpenAlexW2907995909MaRDI QIDQ1729905

Anthony Sofo

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0944-0

zbMATH Keywords

summation formulaszeta functionsintegral formsparameterized series representations

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Cites Work

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• Integral and series representations of Riemann's zeta function and Dirichlet's eta function and a medley of related results
• Summation formula involving harmonic numbers
• Series and product representations for some mathematical constants
• On Eulerian log-gamma integrals and Tornheim-Witten zeta functions
• Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values
• Quadratic alternating harmonic number sums
• Revisiting the Riemann Zeta function at positive even integers
• Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series
• Another Proof of the Famous Formula for the Zeta Function at Positive Even Integers
• Explicit evaluation of Euler sums

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