A note on some alternating series involving zeta and multiple zeta values
DOI10.1016/j.jmaa.2019.03.057zbMath1443.11175OpenAlexW2923228218WikidataQ128135653 ScholiaQ128135653MaRDI QIDQ2633826
Publication date: 10 May 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://hal.univ-cotedazur.fr/hal-01735381v5/file/JMAAaccepted.pdf
Riemann zeta functionStirling numbersBernoulli numbersmultiple zeta valuesharmonic zeta functionRamanujan summation of divergent series
Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
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- Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\)
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