A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909979955429376 |
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| author | Henry, Michael Andrew |
| author_facet | Henry, Michael Andrew |
| contents | We prove an inequality featuring three well-known functions from analysis, namely the cotangent, the Euler-Riemann zeta function, and the digamma function. Aside from a simple proof of our result, we give a conjectured strengthening. We offer various remarks about the origins of this problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00631 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval Henry, Michael Andrew Number Theory Combinatorics We prove an inequality featuring three well-known functions from analysis, namely the cotangent, the Euler-Riemann zeta function, and the digamma function. Aside from a simple proof of our result, we give a conjectured strengthening. We offer various remarks about the origins of this problem. |
| title | A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2601.00631 |