B-free numbers in short arithmetic progressions

Emre Alkan; Alexandru Zaharescu

doi:10.1016/j.jnt.2004.10.003

B-free numbers in short arithmetic progressions

Emre Alkan
, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a sequence B of relatively prime positive integers with the sum of inverses finite, we investigate the problem of finding B-free numbers in short arithmetic progressions.

Original language	English (US)
Pages (from-to)	226-243
Number of pages	18
Journal	Journal of Number Theory
Volume	113
Issue number	2
DOIs	https://doi.org/10.1016/j.jnt.2004.10.003
State	Published - Aug 2005

Keywords

Arithmetic progressions
B-free numbers
Exponential sums

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1016/j.jnt.2004.10.003

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title = "B-free numbers in short arithmetic progressions",

abstract = "Given a sequence B of relatively prime positive integers with the sum of inverses finite, we investigate the problem of finding B-free numbers in short arithmetic progressions.",

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author = "Emre Alkan and Alexandru Zaharescu",

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pages = "226--243",

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KW - Exponential sums

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JF - Journal of Number Theory

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B-free numbers in short arithmetic progressions

Abstract

Keywords

ASJC Scopus subject areas

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