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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.16232 |
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| _version_ | 1866909998706065408 |
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| author | Layja, Jorge Antonio González |
| author_facet | Layja, Jorge Antonio González |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16232 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Closed-Form Evaluation of Two Apéry-Like Series of Weight 4 Layja, Jorge Antonio González Number Theory 40C10, 26A36, 33B30, 11M06 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. |
| title | Closed-Form Evaluation of Two Apéry-Like Series of Weight 4 |
| topic | Number Theory 40C10, 26A36, 33B30, 11M06 |
| url | https://arxiv.org/abs/2601.16232 |