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arXiv · 2003.04929

An asymptotic version of the prime power conjecture for perfect difference sets

Sarah Peluse
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Abstract

We show that the number of positive integers $n\leq N$ such that $\mathbb{Z}/(n^2+n+1)\mathbb{Z}$ contains a perfect difference set is asymptotically $N/\log{N}$.

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Sarah Peluse. 2023-01-05. An asymptotic version of the prime power conjecture for perfect difference sets. https://arxiv.org/abs/2003.04929

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