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

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Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 13 cited

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…

math.NT2019★ 11 cited

Multiplicative functions in short arithmetic progressions

Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen

We study for bounded multiplicative functions $f$ 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…

math.NT2019

Short Character Sums and the Pólya-Vinogradov Inequality

Alexander P. Mangerel

We show in a quantitative way that any odd character $χ$ modulo $q$ of fixed order $g \geq 2$ satisfies the property that if the Pólya-Vinogradov inequality for $χ$ can be improved…