3 citations · 3 across the 5 of their papers we have counts for
10 papers
Gap problems for integer-valued multiplicative functions
Alexander P. Mangerel
Motivated by questions about the typical sizes of gaps in the sequence , where is an integer-valued multiplicative function, we investigate the set of…
Additive functions in short intervals, gaps and a conjecture of Erdős
Alexander P. Mangerel
With the aim of treating the local behaviour of additive functions, we develop analogues of the Matomäki-Radziwill theorem that allow us to approximate the average of a general add…
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_…
Short Character Sums and the Pólya-Vinogradov Inequality
Alexander P. Mangerel
We show in a quantitative way that any odd character modulo of fixed order satisfies the property that if the Pólya-Vinogradov inequality for can be improved…
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…
Effective Asymptotic Formulae for Multilinear Averages of Multiplicative Functions
Oleksiy Klurman, Alexander P. Mangerel
Let be multiplicative functions taking values in the closed unit disc. Using an analytic approach in the spirit of Halász' mean…