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Higher uniformity of arithmetic functions in short intervals I. All intervals
Work
Year: 2023
Type: article
Abstract: We study higher uniformity properties of the Möbius function $\mu $ , the von Mangoldt function $\Lambda $ , and the divisor functions $d_k$ on short intervals $(X,X+H]$ with $X^{\theta +\varepsilon ... more
Source: Forum of Mathematics Pi
Authors Kaisa Matomäki, Xuancheng Shao, Terence Tao, Joni Teräväinen
Institutions University of Turku, University of Kentucky, University of California, Los Angeles
Cites: 50
Cited by: 2
Related to: 10
FWCI: 2.153
Citation percentile (by year/subfield): 88.9
Topic: Analytic Number Theory Research
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond