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On infinite multiplicative Sidon sets

We prove that if $A$ is an infinite multiplicative Sidon set, then $\liminf\limits_{n\to \infty}\frac{|A(n)|-\pi (n)}{\frac{n^{3/4}}{(\log n)^3}} 0$.

Péter Pál Pach | Csaba Sándor

[1] Paul Erdös,et al. Some applications of graph theory to number theory , 1969 .

[2] P. ERDŐS. ON SOME APPLICATIONS OF GRAPH THEORY TO NUMBER THEORETIC PROBLEMS DEDICATED TO THE MEMORY OF , 1969 .

[3] P. Erdös. ON SEQUENCES OF INTEGERS NO ONE OF WHICH DIVIDES THE PRODUCT OF TWO OTHERS AND ON SOME RELATED PROBLEMS , 2004 .

[4] J. Rosser,et al. Approximate formulas for some functions of prime numbers , 1962 .

[5] Paul Erdös,et al. On product representations of powers, I , 1995, Eur. J. Comb..

[6] Ervin Györi. C6-free bipartite graphs and product representation of squares , 1997, Discret. Math..

[7] András Sárközy,et al. On a problem of Erdos on integers, none of which divides the product of k others , 2010, Eur. J. Comb..

[8] Tsz Ho Chan. On sets of integers, none of which divides the product of k others , 2011, Eur. J. Comb..

[9] Péter Pál Pach,et al. Generalized multiplicative Sidon sets , 2015 .