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Lagrange inversion theorem for Dirichlet series. (English) Zbl 07267884
Summary: 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 D. Knuth in [“Convolution polynomials”, Math. J. 2, 67–78 (1992)].
30B50 Dirichlet series, exponential series and other series in one complex variable
Full Text: DOI
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