Comptes Rendus
no. 6
Number Theory
Formal groups, Bernoulli-type polynomials and L-series

Presented by: Jean-Pierre Serre

Piergiulio Tempesta1
1 Scuola Normale Superiore, Centro di ricerca matematica Ennio de Giorgi, Piazza dei Cavalieri, 3, 56126 Pisa, Italy
Comptes Rendus. Mathématique, Volume 345 (2007) no. 6, pp. 303-306.

A new construction relating formal groups, a class of Appell polynomials called the universal Bernoulli polynomials and a family of Dirichlet L-series is proposed. Universal Bernoulli χ-numbers as well as generalized Riemann–Hurwitz zeta functions are introduced.

On propose une nouvelle construction qui relie les groupes formels à une classe de polynomes de Appell qu' on appelle polynômes de Bernoulli universels et à une famille de séries de Dirichlet. On introduit aussi les nombres de Bernoulli universels liés à un caractère de Dirichlet χ et une généralisation des fonctions de Riemann–Hurwitz.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2007.05.016

Piergiulio Tempesta 1

1 Scuola Normale Superiore, Centro di ricerca matematica Ennio de Giorgi, Piazza dei Cavalieri, 3, 56126 Pisa, Italy 
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Piergiulio Tempesta. Formal groups, Bernoulli-type polynomials and L-series. Comptes Rendus. Mathématique, Volume 345 (2007) no. 6, pp. 303-306. doi : 10.1016/j.crma.2007.05.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.05.016/

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