Probabilistic proof of a summation formula
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912064257130496 |
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| author | Kim, Taekyun Kim, Dae San |
| author_facet | Kim, Taekyun Kim, Dae San |
| contents | The aim of this paper is to derive a summation formula for the alternating infinite series and an expression for zeta function by using hyperbolic secant random variables. These identities involve Euler numbers and are obtained by computing the moments of the random variable and the moments of the sum of two independent such random variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probabilistic proof of a summation formula Kim, Taekyun Kim, Dae San Number Theory Probability 11B68, 11M06, 60-08 The aim of this paper is to derive a summation formula for the alternating infinite series and an expression for zeta function by using hyperbolic secant random variables. These identities involve Euler numbers and are obtained by computing the moments of the random variable and the moments of the sum of two independent such random variables. |
| title | Probabilistic proof of a summation formula |
| topic | Number Theory Probability 11B68, 11M06, 60-08 |
| url | https://arxiv.org/abs/2410.05895 |