Uniformity norms, their weaker versions, and applications

Pandelis Dodos, Vassilis Kanellopoulos

Type: Article

Publication Date: 2022-01-01

Citations: 6

DOI: https://doi.org/10.4064/aa210728-27-2

Abstract

We show that, under some mild hypotheses, the Gowers uniformity norms (both in the additive and in the hypergraph setting) are essentially equivalent to certain weaker norms which are easier to understand. We present two applications of this equivalence:

Locations

Acta Arithmetica - View - PDF
arXiv (Cornell University) - View - PDF

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+	Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions	2021	Terence Tao Joni Teräväinen
+ PDF Chat	Higher uniformity of arithmetic functions in short intervals I. All intervals	2023	Kaisa Matomäki Xuancheng Shao Terence Tao Joni Teräväinen
+ PDF Chat	A transference principle for systems of linear equations, and applications to almost twin primes	2023	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+ PDF Chat	A transference principle for systems of linear equations, and applications to almost twin primes	2023	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+	Small‐scale distribution of linear patterns of primes	2024	Mayank Pandey Katharine Woo
+	Higher uniformity of arithmetic functions in short intervals I. All intervals	2022	Kaisa Matomäki Xuancheng Shao Terence Tao Joni Teräväinen

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