Stieltjes constants of L-functions in the extended Selberg class

Let f be an arithmetic function and let [Formula: see text] denote the extended Selberg class. We denote by [Formula: see text] the Dirichlet series attached to f. The Laurent–Stieltjes constants of [Formula: see text] , which belongs to [Formula: see text] , are the coefficients of the Laurent expa...

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Detalles Bibliográficos
Autores principales: Inoue, Shōta, Eddin, Sumaia Saad, Suriajaya, Ade Irma
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549975/
https://www.ncbi.nlm.nih.gov/pubmed/34720671
http://dx.doi.org/10.1007/s11139-021-00391-1
Descripción
Sumario:Let f be an arithmetic function and let [Formula: see text] denote the extended Selberg class. We denote by [Formula: see text] the Dirichlet series attached to f. The Laurent–Stieltjes constants of [Formula: see text] , which belongs to [Formula: see text] , are the coefficients of the Laurent expansion of [Formula: see text] at its pole [Formula: see text] . In this paper, we give an upper bound of these constants, which is a generalization of many known results.

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