Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
: Matomäki, Kaisa; Radziwiłł, Maksym; Shao, Xuancheng; Tao, Terence; Teräväinen, Joni
Publisher: Springer Nature
: 2026
Inventiones Mathematicae
: 0020-9910
: 1432-1297
DOI: https://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
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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.