Essential singularities of Euler products

2010/01/12 by Gautami Bhowmik, Bhowmik, Gautami, Jan‐Christoph Schlage‐Puchta +2
Mathematics · #11G50 #11M41 #20F69 #30B40 #30B50 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G50 #msc:11M41 #msc:20F69 #msc:30B40 #msc:30B50

paper · pdf · doi:10.48550/arxiv.1001.1891

arxiv created 2010/01/12 · openalex publication_date 2010/01/12 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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