论文标题
欧拉（Eulerian
Families of eulerian functions involved in regularization of divergent polyzetas
论文作者
论文摘要
扩展了Eulerian功能，我们研究了它们与几个变量的Zeta功能的关系。特别是，从Weierstrass分解定理（和牛顿 - 吉拉德的身份）开始，我们对$ζ（2k）/π^{2K} $的比率及其多indexexed的概括感兴趣，我们将获得类似的情况，并获得对polyzetas值的结构的类似后果，并引起某些组合的构造的构成。相同的组合框架也允许研究欧拉函数家族的独立性。
Extending the Eulerian functions, we study their relationship with zeta function of several variables. In particular, starting with Weierstrass factorization theorem (and Newton-Girard identity) for the complex Gamma function, we are interested in the ratios of $ζ(2k)/π^{2k}$ and their multiindexed generalization, we will obtain an analogue situation and draw some consequences about a structure of the algebra of polyzetas values, by means of some combinatorics of noncommutative rational series. The same combinatorial frameworks also allow to study the independence of a family of eulerian functions.
