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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 2019 · math.NTShow all

3 papers · 2 filters

math.NT2019★ 11 cited

On the Möbius function in all short intervals

Kaisa Matomäki, Joni Teräväinen

We show that, for the Möbius function , we have for any . This improves on a result of Ramachandra from 1976, which is valid f…

math.NT2019★ 13 cited

Multiplicative functions that are close to their mean

Oleksiy Klurman, Alexander P. Mangerel, Cosmin Pohoata +1

We introduce a simple sieve-theoretic approach to studying partial sums of multiplicative functions which are close to their mean value. This enables us to obtain various new resul…

math.NT2019★ 11 cited

Multiplicative functions in short arithmetic progressions

Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen

We study for bounded multiplicative functions sums of the form \begin{align*} \sum_{\substack{n\leq x \atop n\equiv a\pmod q}}f(n), \end{align*} establishing that their varianc…