Work

Families of eulerian functions involved in regularization of divergent polyzetas

Year: 2023

Type: article

Abstract: 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 ( 2 k ) / π 2 k and their multiindexed generalization, we obtain an analogue situation and draw some consequences about a structure of the algebra of polyzetas values, by means of some combinatorics of words and noncommutative rational series. The same frameworks also allow to study the independence of a family of eulerian functions.

Source: Publications mathématiques de Besançon

DOI: 10.5802/pmb.47

Authors: V. C. Bui, V. Hoang Ngoc Minh, Q. H. Ngo, V. Nguyen Dinh

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Mathématiques de Besançon

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Foundation for Science and Technology Development

Awards: G3947126935, Định lý cơ bản thứ hai của Nevanlinna và các ứng dụng