Lagrange Inversion Theorem for Dirichlet series

2019/11/25 by Kuznetsov, Alexey
#11M41 (Secondary) #30B50 (Primary) #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1911.11133

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].

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