Lower bounds for a conjecture of Erdős and Turán

• Autorzy: Ioannis Konstantoulas
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11B34: Representation functions
• 11B13: Additive bases, including sumsets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 159
• Numer: 4
• Strony: 301-313

Daty

wydano

2013

Twórcy

autor

Ioannis Konstantoulas

• Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, IL 61801, U.S.A.

Identyfikatory

DOI

10.4064/aa159-4-1