Electronic Research Archive (Jan 2024)

Alternating series in terms of Riemann zeta function and Dirichlet beta function

  • Zhiling Fan,
  • Wenchang Chu

DOI
https://doi.org/10.3934/era.2024058
Journal volume & issue
Vol. 32, no. 2
pp. 1227 – 1238

Abstract

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By making use of the multisection series method, four classes of alternating infinite series are evaluated, in closed form, by the Riemann zeta function and the Dirichlet beta function.

Keywords