Nombres de Bernoulli et une formule de Ramanujan

2007/11/10 by O. Ogievetsky, Ogievetsky, Oleg, Vadim Schechtman +1
Mathematics · #65B15 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.0711.1592

openalex publication_date 2007/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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