Lifting Periodicity from Residue Orbits for Generalized Collatz Maps over Dedekind Domains of Global Type

AbstractWe study Hasse-type Collatz maps over a Dedekind domain A of global type. Let F be such a map, with a nonzero nonunit divisor d in A, given on each residue class a in A/dA by F(x)=(m_a x-r_a)/d. If a single nonzero prime ideal p satisfies ord_p(m_a)

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-30
DOI
https://doi.org/10.5281/zenodo.23052280
Primary Topic
Benford’s Law and Fraud Detection
Type
preprint
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preprint

Lifting Periodicity from Residue Orbits for Generalized Collatz Maps over Dedekind Domains of Global Type

Daisuke Fujii
Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
preprint

Lifting Periodicity from Residue Orbits for Generalized Collatz Maps over Dedekind Domains of Global Type

Daisuke Fujii
preprint en

Abstract

AbstractWe study Hasse-type Collatz maps over a Dedekind domain A of global type. Let F be such a map, with a nonzero nonunit divisor d in A, given on each residue class a in A/dA by F(x)=(m_a x-r_a)/d. If a single nonzero prime ideal p satisfies ord_p(m_a)

Zenodo (CERN European Organization for Nuclear Research)
Nagoya University (JP)
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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Lifting Periodicity from Residue Orbits for Generalized Collatz Maps over Dedekind Domains of Global Type — Daisuke Fujii · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS