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arXiv · 1511.03232

On Integer sequences in Product sets

Sai Teja Somu
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Abstract

Let $B$ be a finite set of natural numbers or complex numbers. Product set corresponding to $B$ is defined by $B.B:=\{ab:a,b\in B\}$. In this paper we give an upper bound for longest length of consecutive terms of a polynomial sequence present in a product set accurate up to a positive constant. We give a sharp bound on the maximum number of Fibonacci numbers present in a product set when $B$ is a set of natural numbers and a bound which is accurate up to a positive constant when $B$ is a set of complex numbers.

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Sai Teja Somu. 2015-11-10. On Integer sequences in Product sets. https://arxiv.org/abs/1511.03232

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