Number Theory


Squarefree Arithmetic Sequences

Authors: Helmut Preininger

This paper introduces the notion of an S-Structure (short for Squarefree Structure.) After establishing a few simple properties of such S-Structures, we investigate the squarefree natural numbers as a primary example. In this subset of natural numbers we consider "arithmetic" sequences with varying initial elements. It turns out that these sequences are always periodic. We will give an upper bound for the minimal and maximal points of these periods.

Comments: 10 Pages.

Download: PDF

Submission history

[v1] 2017-03-20 08:06:50

Unique-IP document downloads: 31 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus