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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Mathematische Annalen

سال: 2021

ISSN: ['1432-1807', '0025-5831']

DOI: https://doi.org/10.1007/s00208-021-02188-5