@article{bd8b8fd1015a4be3888677f49ca7e12a,
title = "An asymptotic version of the prime power conjecture for perfect difference sets",
abstract = "We show that the number of positive integers n≤ N such that Z/ (n2+ n+ 1) Z contains a perfect difference set is asymptotically NlogN.",
author = "Sarah Peluse",
note = "Funding Information: The author thanks Ben Green and Kannan Soundararajan for helpful conversations and comments on earlier drafts of this paper and the anonymous referee for many useful suggestions. The author is supported by the NSF Mathematical Sciences Postdoctoral Research Fellowship Program under Grant No. DMS-1903038 Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2021",
month = aug,
doi = "10.1007/s00208-021-02188-5",
language = "English (US)",
volume = "380",
pages = "1387--1425",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer New York",
number = "3-4",
}