Essential singularities of Euler products
Document type :
Pré-publication ou Document de travail
Title :
Essential singularities of Euler products
Author(s) :
Bhowmik, Gautami [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Schlage-Puchta, Jan-Christoph [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Schlage-Puchta, Jan-Christoph [Auteur]
English keyword(s) :
Dirichlet series
Euler product
singularities
natural boundary
zeta functions of groups
Euler product
singularities
natural boundary
zeta functions of groups
HAL domain(s) :
Mathématiques [math]/Théorie des nombres [math.NT]
English abstract : [en]
We classify singularities of Dirichlet series having Euler products which are rational functions for p and p^{-s} for p a prime number and give examples of natural boundaries from zeta functions of groups and height zeta ...
Show more >We classify singularities of Dirichlet series having Euler products which are rational functions for p and p^{-s} for p a prime number and give examples of natural boundaries from zeta functions of groups and height zeta functions.Show less >
Show more >We classify singularities of Dirichlet series having Euler products which are rational functions for p and p^{-s} for p a prime number and give examples of natural boundaries from zeta functions of groups and height zeta functions.Show less >
Language :
Anglais
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