Closed-Form Evaluation of Two Apéry-Like Series of Weight 4
Abstract
This paper presents closed-form evaluations of two new Apéry-like series of weight 4 that involve harmonic numbers of the form 𝐻 2𝑘 . Several key results are derived and subsequently used to establish connections to the main series.
Fields of Study & Subjects
Advanced Mathematical Identities
Analytic Number Theory Research
Mathematical functions and polynomials
Publication details
- Journal / source
- Mathematica Pannonica
- Volume
- 31_NS5
- Issue
- 2
- Pages
- 190–195
- Publication date
- 20 January 2026