Publication result detail

7x +- 1: Close Relative of the Collatz Problem

BAŘINA, D.

Original Title

7x +- 1: Close Relative of the Collatz Problem

English Title

7x +- 1: Close Relative of the Collatz Problem

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace. We conjecture that the orbit of arbitrary positive integer always returns to 1, as in the case of the Collatz function. The conjecture is supported by a heuristic argument and computational results.

English abstract

We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace. We conjecture that the orbit of arbitrary positive integer always returns to 1, as in the case of the Collatz function. The conjecture is supported by a heuristic argument and computational results.

Keywords

Collatz problem, number theory

Key words in English

Collatz problem, number theory

Authors

BAŘINA, D.

RIV year

2023

Released

20.12.2022

ISBN

1505-0602

Periodical

Computational Methods in Science and Technology

Volume

28

Number

4

State

Republic of Poland

Pages from

143

Pages to

147

Pages count

5

URL

https://www.fit.vut.cz/research/publication/12909/

BibTex

@article{BUT180475,
  author="David {Bařina}",
  title="7x +- 1: Close Relative of the Collatz Problem",
  journal="Computational Methods in Science and Technology",
  year="2022",
  volume="28",
  number="4",
  pages="143--147",
  doi="10.12921/cmst.2022.0000025",
  issn="1505-0602",
  url="https://www.fit.vut.cz/research/publication/12909/"
}

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