Scholarlink

<p>Using Ramanujan’s summation method applied to a certain type of divergent series involving harmonic numbers and powers of logarithms, we consider a variety of interesting constants and study their properties. In particular, we clarify their close connection with the classical Stieltjes constants and their analogues for the harmonic zeta function which allows us to deduce several remarkable identities.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On some remarkable identities related to the harmonic zeta function

  • 期刊论文

  • 发表日期：

    2025年6月2日

查看全文
  • Marc-Antoine Coppo,
  • Bernard Candelpergher

摘要

Using Ramanujan’s summation method applied to a certain type of divergent series involving harmonic numbers and powers of logarithms, we consider a variety of interesting constants and study their properties. In particular, we clarify their close connection with the classical Stieltjes constants and their analogues for the harmonic zeta function which allows us to deduce several remarkable identities.