GCD sums from Poisson integrals and systems of dilated functions

Christoph Aistleitner; István Berkes; Kristian Seip

doi:10.4171/JEMS/537

GCD sums from Poisson integrals and systems of dilated functions

Christoph Aistleitner^*, István Berkes, Kristian Seip

^*Corresponding author for this work

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

Abstract

Upper bounds for GCD sums of the form

Sigma(N)(k,l=1) (gcd(n(k), n(l)))(2 alpha)/(n(k)n(l))(alpha)

are established, where (n(k))1

Original language	English
Pages (from-to)	1517-1546
Journal	Journal of the European Mathematical Society
Volume	17
Issue number	6
DOIs	https://doi.org/10.4171/JEMS/537
Publication status	Published - 2015

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Information, Communication & Computing

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10.4171/JEMS/537

gcd_sums_from_poisson_integrals_and_systems_of_dilated_functionsProof, 209 KBLicence: CC BY 4.0

Cite this

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title = "GCD sums from Poisson integrals and systems of dilated functions",

abstract = "Upper bounds for GCD sums of the formSigma(N)(k,l=1) (gcd(n(k), n(l)))(2 alpha)/(n(k)n(l))(alpha)are established, where (n(k))1 ",

author = "Christoph Aistleitner and Istv{\'a}n Berkes and Kristian Seip",

year = "2015",

doi = "10.4171/JEMS/537",

language = "English",

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AU - Aistleitner, Christoph

AU - Berkes, István

AU - Seip, Kristian

PY - 2015

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N2 - Upper bounds for GCD sums of the formSigma(N)(k,l=1) (gcd(n(k), n(l)))(2 alpha)/(n(k)n(l))(alpha)are established, where (n(k))1

AB - Upper bounds for GCD sums of the formSigma(N)(k,l=1) (gcd(n(k), n(l)))(2 alpha)/(n(k)n(l))(alpha)are established, where (n(k))1

UR - http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=17&iss=6&rank=7

U2 - 10.4171/JEMS/537

DO - 10.4171/JEMS/537

M3 - Article

SN - 1435-9855

VL - 17

SP - 1517

EP - 1546

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 6

ER -

GCD sums from Poisson integrals and systems of dilated functions

Abstract

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Analytic Combinatorics: Analytic Combinatorics and Probabilistic Number Theory

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GCD sums from Poisson integrals and systems of dilated functions

Abstract

Fields of Expertise

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Projects

Analytic Combinatorics: Analytic Combinatorics and Probabilistic Number Theory

Cite this