A note on Dirichlet-like series attached to polynomials
Number Theory
2025-03-25 v1
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.
Cite
@article{arxiv.2503.18448,
title = {A note on Dirichlet-like series attached to polynomials},
author = {Frédéric Chapoton},
journal= {arXiv preprint arXiv:2503.18448},
year = {2025}
}