Lower bounds for a conjecture of Erdős and Turán
Acta Arithmetica (2013)
- Volume: 159, Issue: 4, page 301-313
- ISSN: 0065-1036
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topIoannis Konstantoulas. "Lower bounds for a conjecture of Erdős and Turán." Acta Arithmetica 159.4 (2013): 301-313. <http://eudml.org/doc/279150>.
@article{IoannisKonstantoulas2013,
abstract = {We study representation functions of asymptotic additive bases and more general subsets of ℕ (sets with few nonrepresentable numbers). We prove that if ℕ∖(A+A) has sufficiently small upper density (as in the case of asymptotic bases) then there are infinitely many numbers with more than five representations in A+A, counting order.},
author = {Ioannis Konstantoulas},
journal = {Acta Arithmetica},
keywords = {Erdős-Turán conjecture; asymptotic additive bases; lower bounds},
language = {eng},
number = {4},
pages = {301-313},
title = {Lower bounds for a conjecture of Erdős and Turán},
url = {http://eudml.org/doc/279150},
volume = {159},
year = {2013},
}
TY - JOUR
AU - Ioannis Konstantoulas
TI - Lower bounds for a conjecture of Erdős and Turán
JO - Acta Arithmetica
PY - 2013
VL - 159
IS - 4
SP - 301
EP - 313
AB - We study representation functions of asymptotic additive bases and more general subsets of ℕ (sets with few nonrepresentable numbers). We prove that if ℕ∖(A+A) has sufficiently small upper density (as in the case of asymptotic bases) then there are infinitely many numbers with more than five representations in A+A, counting order.
LA - eng
KW - Erdős-Turán conjecture; asymptotic additive bases; lower bounds
UR - http://eudml.org/doc/279150
ER -
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