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2023/103/1-2 (1) — DOI: 10.5486/PMD.2023.9260 — pp. 1-12

On infinite Möbius inversion

Authors: Michel J. G. Weber

Abstract:

We obtain a simple criterion for the infinite Möbius inversion, which applies to a large class of functions.

Keywords: infinite Möbius inversion formula, Bernoulli sums, divisors

Mathematics Subject Classification: 11A25, 11C99