Essential singularities of Euler products
classification
🧮 math.NT
keywords
functionseulerproductssingularitieszetaboundariesclassifydirichlet
read the original 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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