A note on some alternating series involving zeta and multiple zeta values

DOI10.1016/j.jmaa.2019.03.057zbMath1443.11175OpenAlexW2923228218WikidataQ128135653 ScholiaQ128135653MaRDI QIDQ2633826

Marc-Antoine Coppo

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

zbMATH Keywords

Riemann zeta functionStirling numbersBernoulli numbersmultiple zeta valuesharmonic zeta functionRamanujan summation of divergent series

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)

Related Items (5)

Global series for height 1 multiple zeta functions ⋮ On some formulae related to Euler sums ⋮ Laurent expansion of harmonic zeta functions ⋮ Generalized Glaisher-Kinkelin constants and Ramanujan summation of series ⋮ Some alternating sums of multiple zeta values of height one

Uses Software

• DLMF

Cites Work

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