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arxiv: 0711.1592 · v2 · submitted 2007-11-10 · 🧮 math.CA

Nombres de Bernoulli et une formule de Ramanujan

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keywords formulapartramanujansummationbernoullicertainconnectionequation
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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.

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