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arXiv · 2503.18448

A note on Dirichlet-like series attached to polynomials

Frédéric Chapoton
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Abstract

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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Frédéric Chapoton. 2025-03-24. A note on Dirichlet-like series attached to polynomials. https://arxiv.org/abs/2503.18448

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