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Technical Traité élémentaire des nombres de Bernoulli
Posted on 2010-09-09
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More Niels Nielsen, "Traité élémentaire des nombres de Bernoulli" The book was originally published in 1923. (Reprinted by Editions Gabay in 2003.) SOMMAIRE (Table of contents) Théorèmes et formules auxiliaires. Du calcul aux différences finies. Les suites harmoniques. Les fonctions de Bernoulli et d'Euler. Les polynômes symétriques. Les suites régulières. Les fonctions Bn(px) et En(px). Méthode de Jacques Bernoulli. Formules incomplètes de première espèce. Formules incomplètes de seconde espèce. D'autres formules incomplètes. Expressions explicites. De la nature des nombres de Bernoulli. Les congruences de Kummer. Applications des polynômes symétriques. Les sommes des puissances. Les coefficients de factorielle. Les formules récursives des Bn. Des quotients de Fermat. Des résidus quadratiques. Download
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