%0 Journal Article
%T Infinite Sidon sequences
%A Javier Cilleruelo
%J Mathematics
%D 2012
%I arXiv
%X We present a new method to obtain infinite Sidon sequences, based on the discrete logarithm. We construct an infinite Sidon sequence A, with A(x)= x^{\sqrt 2-1+o(1)}. Ruzsa proved the existence of a Sidon sequence with similar counting function but his proof was not constructive. Our method generalizes to B_h sequences: For all h\ge 3, there is a B_h sequence A such that A(x)=x^{\sqrt{(h-1)^2+1}-(h-1)+o(1)}.
%U http://arxiv.org/abs/1209.0326v2