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

Library availability

Discover UIUC Full Text

Cite this

@article{822e210f92e7486fbd7ade16e44fa552,

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.",

keywords = "Arithmetic progressions, B-free numbers, Exponential sums",

author = "Emre Alkan and Alexandru Zaharescu",

year = "2005",

month = aug,

doi = "10.1016/j.jnt.2004.10.003",

language = "English (US)",

volume = "113",

pages = "226--243",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - B-free numbers in short arithmetic progressions

AU - Alkan, Emre

AU - Zaharescu, Alexandru

PY - 2005/8

Y1 - 2005/8

N2 - 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.

AB - 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.

KW - Arithmetic progressions

KW - B-free numbers

KW - Exponential sums

UR - http://www.scopus.com/inward/record.url?scp=21344462603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21344462603&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2004.10.003

DO - 10.1016/j.jnt.2004.10.003

M3 - Article

AN - SCOPUS:21344462603

SN - 0022-314X

VL - 113

SP - 226

EP - 243

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 2

ER -

B-free numbers in short arithmetic progressions

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this