Product Sums of Zeta Tails by Series Rearrangements

Product sums of zeta like tails are examined by means of series rearrangements. Six classes of them are shown to be expressible in terms of Riemann’s zeta function, and Dirichlet’s eta, lambda and beta functions. Several remarkable closed formulae are established as consequences.

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Publication Details

Journal
Computational Mathematics and Mathematical Physics
Published
2025-01-01
DOI
https://doi.org/10.1134/s0965542524701896
Primary Topic
Advanced Mathematical Identities
Type
article
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article

Product Sums of Zeta Tails by Series Rearrangements

Wenchang Chu, Chunli Li
Computational Mathematics and Mathematical Physics
Advanced Mathematical Identities
article

Product Sums of Zeta Tails by Series Rearrangements

Wenchang Chu, Chunli Li
article en

Abstract

Product sums of zeta like tails are examined by means of series rearrangements. Six classes of them are shown to be expressible in terms of Riemann’s zeta function, and Dirichlet’s eta, lambda and beta functions. Several remarkable closed formulae are established as consequences.

Computational Mathematics and Mathematical PhysicsVol. 65(1)
Zhoukou Normal University (CN), Innovation Engineering (Italy) (IT)
Openalex Percentile: Top 91%
Advanced Mathematical Identities
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Product Sums of Zeta Tails by Series Rearrangements — Wenchang Chu, Chunli Li · Computational Mathematics and Mathematical Physics (2025) | TGRS Research Map | TGRS