4 papers
Large fluctuations of sums of a random multiplicative function
Besfort Shala
Let be a Rademacher or Steinhaus random multiplicative function. For various arithmetically interesting subsets such that the distribu…
Distribution of mixed character sums and extremal problems for Littlewood polynomials
Jonathan W. Bober, Oleksiy Klurman, Besfort Shala
We prove distributional results for mixed character sums \begin{equation*} \sum_{n\le x }χ(n)e(nθ), \end{equation*} for fixed and random character , as well…
Random Chowla's Conjecture for Rademacher Multiplicative Functions
Jake Chinis, Besfort Shala
We study the distribution of partial sums of Rademacher random multiplicative functions evaluated at polynomial arguments. We show that for a polynomial $P\in \mathbb Z[…
The Probabilistic Zeta Function of a Finite Lattice
Besfort Shala
We study Brown's definition of the probabilistic zeta function of a finite lattice as a generalization of that of a finite group. We propose a natural alternative or extension that…