On the inverse Möbius transformation and the partitions into distinct parts

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Abstract

Abstract The inverse Möbius transformation is a bijection between two sequences. We present here a tree representation that allow us to appreciate the order inherent to this operation and its relationship with the functions like the integer partitions in distinct part ( D ( n )) or the smallest or largest terms in a partition.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00
unpaywall
last seen: 2026-05-28T02:00:01.590549+00:00
License: CC-BY-4.0