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.

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Submission history

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

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