Publicacions Matemàtiques

Dense Infinite $B_h$ Sequences

Javier Cilleruelo and Rafael Tesoro

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

For $h=3$ and $h=4$ we prove the existence of infinite $B_h$ sequences $\mathcal{B}$ with counting function

$$\mathcal{B}(x)= x^{\sqrt{(h-1)^2+1}-(h-1) + o(1)}.$$

This result extends a construction of I. Ruzsa for $B_2$ sequences.

Article information

Source
Publ. Mat., Volume 59, Number 1 (2015), 55-73.

Dates
First available in Project Euclid: 21 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.pm/1421861993

Mathematical Reviews number (MathSciNet)
MR3302576

Zentralblatt MATH identifier
1307.45008

Subjects
Primary: 11B83: Special sequences and polynomials

Keywords
$B_h$ sequences Sidon sequences probabilistic method

Citation

Cilleruelo, Javier; Tesoro, Rafael. Dense Infinite $B_h$ Sequences. Publ. Mat. 59 (2015), no. 1, 55--73. https://projecteuclid.org/euclid.pm/1421861993


Export citation