Bonjour, en plus du seminaire de cet après-midi, ce matin (mardi 21 novembre 2017) à 11h00 en B107, Karl Dilcher nous parlera de : On the polynomial part of a restricted partition function. Résumé : We prove an explicit formula for the polynomial part of a restricted partition function, also known as the first Sylvester wave. This is achieved by way of some identities for higher-order Bernoulli polynomials, one of which is analogous to Raabe's well-known multiplication formula for the ordinary Bernoulli polynomials. As a consequence of our main result we obtain an asymptotic expression of the first Sylvester wave as the coefficients of the restricted partition grow arbitrarily large. (Joint work with Christophe Vignat). http://lipn.univ-paris13.fr/~banderier/Seminaires/ À tout de suite, Thierry