On the Uniformity of (3/2)n Modulo 1

Authors

Paula Neeley, Carnegie Mellon University
Daniel Taylor-Rodriguez, Portland State UniversityFollow
J.J.P. Veerman, Portland State UniversityFollow
Thomas Roth

Document Type

Pre-Print

Publication Date

2017

Subjects

Symmetry (Mathematics)

Abstract

It has been conjectured that the sequence (3/2)n modulo 1 is uniformly distributed. The distribution of this sequence is significant in relation to unsolved problems in number theory including the Collatz conjecture. In this paper, we describe an algorithm to compute (3/2)n modulo 1 to n = 108 . We then statistically analyze its distribution. Our results strongly agree with the hypothesis that (3/2)n modulo 1 is uniformly distributed.

Description

This is the author’s version of a work. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document.

Locate the Document

https://arxiv.org/abs/1806.03559v2

Persistent Identifier

https://archives.pdx.edu/ds/psu/30103

Citation Details

Neeley, Paula; Taylor-Rodriguez, Daniel; Veerman, J.J.P.; and Roth, Thomas, "On the Uniformity of (3/2)n Modulo 1" (2017). Mathematics and Statistics Faculty Publications and Presentations. 262.
https://archives.pdx.edu/ds/psu/30103