Nombres de Bernoulli et une formule de Ramanujan

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In the first part we establish a connection between the Euler-Maclaurin summation formula and the Rota-Baxter functional equation. In the second part we give a simple proof of a formula, due to Ramanujan, on the summation of certain exponential series.
27 pages

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Classical Analysis and ODEs, 65B15

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http://salesiana.dossiersoluciones.com/handle/123456789/141990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1592
 http://arxiv.org/abs/0711.1592

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arXiv