Additive properties of dense subsets of sifted sequences

Olivier Ramaré; Imre Z. Ruzsa

Journal de théorie des nombres de Bordeaux (2001)

  • Volume: 13, Issue: 2, page 559-581
  • ISSN: 1246-7405

Abstract

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We examine additive properties of dense subsets of sifted sequences, and in particular prove under very general assumptions that such a sequence is an additive asymptotic basis whose order is very well controlled.

How to cite

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Ramaré, Olivier, and Ruzsa, Imre Z.. "Additive properties of dense subsets of sifted sequences." Journal de théorie des nombres de Bordeaux 13.2 (2001): 559-581. <http://eudml.org/doc/248692>.

@article{Ramaré2001,
abstract = {We examine additive properties of dense subsets of sifted sequences, and in particular prove under very general assumptions that such a sequence is an additive asymptotic basis whose order is very well controlled.},
author = {Ramaré, Olivier, Ruzsa, Imre Z.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {sufficiently sifted sequence; additive asymptotic basis; upper bound; asymmetrical lower bound; Selberg sieve; large sieve},
language = {eng},
number = {2},
pages = {559-581},
publisher = {Université Bordeaux I},
title = {Additive properties of dense subsets of sifted sequences},
url = {http://eudml.org/doc/248692},
volume = {13},
year = {2001},
}

TY - JOUR
AU - Ramaré, Olivier
AU - Ruzsa, Imre Z.
TI - Additive properties of dense subsets of sifted sequences
JO - Journal de théorie des nombres de Bordeaux
PY - 2001
PB - Université Bordeaux I
VL - 13
IS - 2
SP - 559
EP - 581
AB - We examine additive properties of dense subsets of sifted sequences, and in particular prove under very general assumptions that such a sequence is an additive asymptotic basis whose order is very well controlled.
LA - eng
KW - sufficiently sifted sequence; additive asymptotic basis; upper bound; asymmetrical lower bound; Selberg sieve; large sieve
UR - http://eudml.org/doc/248692
ER -

References

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