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Dense infinite Bh sequences

2012/06/14 by Javier Cilleruelo, Cilleruelo, Javier, Rafael Tesoro +1
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #semigroups and automata theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1206.3087

Abstract

For h=3 and h=4 we prove the existence of infinite Bh sequences \B with counting function B(x)= x√((h-1)2+1)-(h-1) + o(1). This result extends a construction of I. Ruzsa for B2 sequences.

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