Averaging structure in the 3x+1 problem-Reference-Cited by-同舟云学术

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Averaging structure in the 3x+1 problem

Published:2015-03 Issue: Volume:148 Page:384-397
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Chamberland Marc

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference8 articles.

1. Functional equations connected with the Collatz problem;Berg;Results Math.,1994

2. The 3n+1 Collatz problem and functional equations;Berg;Rostock. Math. Kolloq.,1995

3. Functions of One Complex Variable;Conway,1973

4. Studies on Divergent Series and Summability and The Asymptotic Developments of Functions Defined by Maclaurin Series;Ford,1960

5. Stochastic models for the 3x+1 and 5x+1 problems and related problems;Kontorovich,2010

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A non-uniform distribution property of most orbits, in case the $3x+1$ conjecture is true;Acta Arithmetica;2017

2. 3x+1 inverse orbit generating functions almost always have natural boundaries;Acta Arithmetica;2015

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