33 citations · 87 across the 30 of their papers we have counts for
4 papers · 2 filters
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…
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…
A note on multiplicative automatic sequences, II
Oleksiy Klurman, Pär Kurlberg
We prove that any -automatic multiplicative function either essentially coincides with a Dirichlet character, or vanishes on all sufficiently large p…
A note on multiplicative automatic sequences
Oleksiy Klurman, Pär Kurlberg
We prove that any -automatic completely multiplicative function essentially coincides with a Dirichlet character. This answers a question of J. P. Al…