Higher uniformity of arithmetic functions in short intervals II. Almost all intervals




Matomäki, Kaisa; Radziwiłł, Maksym; Shao, Xuancheng; Tao, Terence; Teräväinen, Joni

PublisherSpringer Nature

2026

 Inventiones Mathematicae

0020-9910

1432-1297

DOIhttps://doi.org/10.1007/s00222-026-01408-6

https://link.springer.com/article/10.1007/s00222-026-01408-6

https://research.utu.fi/converis/portal/detail/Publication/515592864



KM was supported by Academy of Finland grant no. 285894. MR acknowledges the support of NSF grant DMS-2401106. XS was supported by NSF grant DMS-2200565. TT was supported by a Simons Investigator grant, the James and Carol Collins Chair, the Mathematical Analysis & Application Research Fund Endowment, and by NSF grant DMS-1764034. JT was supported by Academy of Finland grant no. 362303, a von Neumann Fellowship (NSF grant DMS-1926686), and funding from European Union’s Horizon Europe research and innovation programme under Marie Skłodowska-Curie grant agreement no. 101058904 and ERC grant agreement no. 101162746.


Last updated on 24/02/2026 01:11:21 PM