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math.NT2012
Infinite Sidon sequences
Javier Cilleruelo
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…
math.NT2012
Dense infinite sequences
Javier Cilleruelo, Rafael Tesoro
For and we prove the existence of infinite sequences $\B$ with counting function This result extends a cons…