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A note on Dirichlet-like series attached to polynomials
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math.NT
keywords
attacheddirichletdirichlet-likefunctionscharacterscomplexfunctiongeneralize
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Some Dirichlet-like functions, attached to a pair (periodic function, polynomial) are introduced and studied. These functions generalize the standard Dirichlet L-functions of Dirichlet characters. They have similar properties, being holomorphic on thefull complex plane and having simple values on negative integers.
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