On Bourgain's bound for short exponential sums and squarefree numbers

Ramon M. Nunes

Acta Arithmetica (2016)

  • Volume: 172, Issue: 2, page 99-116
  • ISSN: 0065-1036

Abstract

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We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.

How to cite

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Ramon M. Nunes. "On Bourgain's bound for short exponential sums and squarefree numbers." Acta Arithmetica 172.2 (2016): 99-116. <http://eudml.org/doc/279128>.

@article{RamonM2016,
abstract = {We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.},
author = {Ramon M. Nunes},
journal = {Acta Arithmetica},
keywords = {squarefree integers; arithmetic progressions; exponential sums},
language = {eng},
number = {2},
pages = {99-116},
title = {On Bourgain's bound for short exponential sums and squarefree numbers},
url = {http://eudml.org/doc/279128},
volume = {172},
year = {2016},
}

TY - JOUR
AU - Ramon M. Nunes
TI - On Bourgain's bound for short exponential sums and squarefree numbers
JO - Acta Arithmetica
PY - 2016
VL - 172
IS - 2
SP - 99
EP - 116
AB - We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.
LA - eng
KW - squarefree integers; arithmetic progressions; exponential sums
UR - http://eudml.org/doc/279128
ER -

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