A new approach on proving Collatz conjecture

DOI10.1155/2019/6129836zbMath1471.11037OpenAlexW2943700283WikidataQ122954911 ScholiaQ122954911MaRDI QIDQ2337122

Yanyan Li

Publication date: 19 November 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6129836

zbMATH Keywords

Collatz conjecture\(3x+1\) problem

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83)

Related Items (3)

A reduced Collatz dynamics maps to a residue class, and its count of \((x/2)\) over the count of \(3\ast x+1\) is larger than \(\ln 3/\ln 2\) ⋮ Novel theorems and algorithms relating to the Collatz conjecture ⋮ The Collatz conjecture and the quantum mechanical harmonic oscillator

Cites Work

• The convergence classes of Collatz function
• Working in binary protects the repetends of \(1/3^{h}\): Comment on Colussi's ``The convergence classes of Collatz function
• On the "3x + 1" Problem
• Maximum excursion and stopping time record-holders for the problem: Computational results
• Bounds for the 3x+1 problem using difference inequalities
• Don't Try to Solve These Problems
• \(3x + 1\) search programs

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