3 citations · 5 across the 7 of their papers we have counts for
10 papers · 1 filter
On the random Chowla conjecture
Oleksiy Klurman, Ilya D. Shkredov, Max Wenqiang Xu
We show that for a Steinhaus random multiplicative function and any polynomial of which is not of the form $…
Monotone chains of Fourier coefficients of Hecke cusp forms
Oleksiy Klurman, Alexander Mangerel
We prove general equidistribution statements (both conditional and unconditional) relating to the Fourier coefficients of arithmetically normalized holomorphic Hecke cusp forms $f_…
On Positivity and Minimality for Second-Order Holonomic Sequences
George Kenison, Oleksiy Klurman, Engel Lefaucheux +5
An infinite sequence of real numbers is holonomic (also known as P-recursive or P-finite) if it satisfies a linear recurrence relation with p…
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…
On the Orbits of Multiplicative Pairs
Oleksiy Klurman, Alexander P. Mangerel
We characterize all pairs of completely multiplicative functions such that the orbit closure \[\overline{\{(f(n),g(n+1))\}_{n\ge 1}} \neq \mathbb{T}\t…