The Smallest Non-squareful Number In An Arithmetical Progression

Posted on:2018-12-25

Degree:Master

Type:Thesis

Country:China

Candidate:S H Liu

Full Text:PDF

GTID:2310330542965326

Subject:Basic mathematics

Abstract/Summary:

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The main result of this paper is the following:Let a,d be natural numbers and d ? 1,n0 be the smallest nonnegative integer that makes a + dn0 non-squareful,then there exists an absolute constant C₁>0 such that no ??C₁lnd + 2?2.

Keywords/Search Tags:

Arithmetical progression, squareful number, perfect power, upper bound

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