Higher uniformity of arithmetic functions in short intervals II. Almost all intervals - UTU Research Portal

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

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

Publisher: Springer Nature

Publication year: 2026

Journal: Inventiones Mathematicae

ISSN: 0020-9910

eISSN: 1432-1297

DOI: https://doi.org/10.1007/s00222-026-01408-6

Publication's open availability at the time of reporting: Open Access

Publication channel's open availability : Partially Open Access publication channel

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

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/515592864

Self-archived copy's licence: CC BY

Self-archived copy's version: Publisher`s PDF

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Funding information in the publication:
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.