English

A remark of Ruzsa's construction of an infinite Sidon set

Number Theory 2011-04-01 v3 Combinatorics

Abstract

A Sidon set is a set of the positive integers such that the sums of two pairs is not repeated. I. Ruzsa gave a probabilistic construction of an infinite Sidon set. In this work we present the details of a simplified proof of this construction as suggested in a paper of I. Ruzsa and J. Cilleruelo (Real and -padic Sidon sequences, Acta Sci. Math (Szeged) 70 (2004), 505-510).

Keywords

Cite

@article{arxiv.1103.5732,
  title  = {A remark of Ruzsa's construction of an infinite Sidon set},
  author = {Juan Pablo Maldonado},
  journal= {arXiv preprint arXiv:1103.5732},
  year   = {2011}
}