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Abstract <p>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.</p>

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Product Sums of Zeta Tails by Series Rearrangements

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • Chunli Li,
  • Wenchang Chu

摘要

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.