Lagrange Inversion Theorem for Dirichlet series
Number Theory
2019-11-26 v1 Complex Variables
Abstract
We prove an analogue of the Lagrange Inversion Theorem for Dirichlet series. The proof is based on studying properties of Dirichlet convolution polynomials, which are analogues of convolution polynomials introduced by Knuth in [4].
Cite
@article{arxiv.1911.11133,
title = {Lagrange Inversion Theorem for Dirichlet series},
author = {Alexey Kuznetsov},
journal= {arXiv preprint arXiv:1911.11133},
year = {2019}
}
Comments
15 pages, 1 figure