Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 58 min ago
Peer-reviewedCC BYRevista de la Unión Matemática Argentina

A variant of Collatz's conjecture over binary polynomials

Abstract

We study a natural analogue of Collatz's Conjecture for polynomials over 𝔽2.

Related

  1. Resolving a conjecture on permutation polynomials over 𝔽2n
    Yi Li
    arXivPreprintarXiv licenceFull textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv
  2. A Complete Solution to the Conjecture on the Inverse Collatz–Sinogowitz Irregularity Problem
    Xue Ji, Zhiwen Wang, Ji-Ming Guo
    Discrete Mathematics LettersPeer-reviewedCC BYFull textGeometry & topologyDOAJ
  3. Consecutive integers coalesce with density one under the Collatz map: a formally verified proof of a conjecture of Gao
    Omar Javier Said Duran
    Zenodo (CERN European Organization for Nuclear Research)PreprintCC BY9 citedMathematical physicsOpenAlex
  4. Splitting sums of binary polynomials
    Luis H Gallardo
    Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanostiPeer-reviewedCC BY 4.0Full textGeneral mathematicsHAL
  5. The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials
    Mario Kummer, Tim Netzer
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryOptimisation & controlarXiv
BibTeX
@article{gallardo2026variant,
  title = {{A variant of Collatz's conjecture over binary polynomials}},
  author = {Luis Gallardo and Olivier Rahavandrainy},
  journal = {Revista de la Unión Matemática Argentina},
  year = {2026},
  month = sep,
  doi = {10.33044/revuma.5555},
  url = {https://univ-brest.hal.science/hal-05738796v1},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - A variant of Collatz's conjecture over binary polynomials
AU  - Luis Gallardo
AU  - Olivier Rahavandrainy
PY  - 2026
DA  - 2026/09/04
JO  - Revista de la Unión Matemática Argentina
DO  - 10.33044/revuma.5555
UR  - https://univ-brest.hal.science/hal-05738796v1
AB  - We study a natural analogue of Collatz's Conjecture for polynomials over 𝔽_2.
SN  - 0041-6932
SN  - 1669-9637
ER  -