Alexander P. Mangerel

activity

20152026

most citedMultiplicative functions that are close to their mean

13 citations · 45 across the 29 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NT2020

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_…

math.NT2020★ 4 cited

Correlations of multiplicative functions in function fields

Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen

We develop an approach to study character sums, weighted by a multiplicative function $f : F_{q} [t] \to S^{1}$ , of the form \begin{equation} \sum_{G\in \mathcal{M}_N}f(G)χ(G)ξ(G)…

math.NT2020★ 2 cited

Squarefree Integers in Arithmetic Progressions to Smooth Moduli

Alexander P. Mangerel

Let $ε > 0$ be sufficiently small and let $0 < η < 1/522$ . We show that if $X$ is large enough in terms of $ε$ then for any squarefree integer $q \leq X^{196/261 - ε}$ that is $X^{η}$ -sm…