The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage

This paper presents a unified framework for the Collatz Conjecture, showing that local residue dynamics and global ladder coverage are structurally identical, and show unique parentage, complete coverage, and convergence to the trivial cycle.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-02
DOI
https://doi.org/10.5281/zenodo.17254677
Primary Topic
Genomics and Phylogenetic Studies
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage

Zenodo (CERN European Organization for Nuclear Research)
Genomics and Phylogenetic Studies
article

The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage

article en

Abstract

This paper presents a unified framework for the Collatz Conjecture, showing that local residue dynamics and global ladder coverage are structurally identical, and show unique parentage, complete coverage, and convergence to the trivial cycle.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 47%
Genomics and Phylogenetic Studies
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The Collatz Conjecture in a Unified Framework: Local Residue Dynamics and Global Ladder Coverage · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS