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20152026
most citedThe structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures

38 citations · 177 across the 23 of their papers we have counts for

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Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1

Tim Browning, Efthymios Sofos, Joni Teräväinen

With probability 1, we assess the average behaviour of various arithmetic functions at the values of degree d polynomials f that are ordered by height. This allows us to establish…

math.NT2022★ 10 cited

Higher uniformity of arithmetic functions in short intervals I. All intervals

Kaisa Matomäki, Xuancheng Shao, Terence Tao +1

We study higher uniformity properties of the Möbius function , the von Mangoldt function , and the divisor functions on short intervals with $X^{θ+\varepsilon…

math.NT2022★ 1 cited

Beyond the Erdős discrepancy problem in function fields

Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen

We characterize the limiting behavior of partial sums of multiplicative functions . In contrast to the number field setting, the characterization depends…