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arXiv · 2601.16232

Closed-Form Evaluation of Two Ap\'ery-Like Series of Weight 4

Jorge Antonio González Layja
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Abstract

This paper presents closed-form evaluations of two new Ap\'ery-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.

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Jorge Antonio González Layja. 2026-01-20. Closed-Form Evaluation of Two Ap\'ery-Like Series of Weight 4. https://doi.org/10.1556/314.2025.00019

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