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On the multiplicative representation of integers

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Abstract

Leta 1<a 2<··· be an infinite sequence of integers. Denote byg(n) the number of solutions ofn=a i···a j. Ifg(n)>0 for a sequencen of positive upper density then lim supg(n)=∞.

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References

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  1. Technion-Israel Institute of Technology, Haifa, Israel

    P. Erdös

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  1. P. Erdös
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Dedicated to my friend A. D. Wallace on the occasion of his 60th birthday.

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Erdös, P. On the multiplicative representation of integers. Israel J. Math. 2, 251–261 (1964). https://doi.org/10.1007/BF02759742

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  • DOI: https://doi.org/10.1007/BF02759742

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