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 2023Show all

3 papers · 1 filter

math.NT2023

Gap problems for integer-valued multiplicative functions

Alexander P. Mangerel

Motivated by questions about the typical sizes of gaps $∣ f (n + 1) - f (n) ∣$ in the sequence $(f (n))_{n}$ , where $f$ is an integer-valued multiplicative function, we investigate the set of…

math.NT2023

On Equal Consecutive Values of Multiplicative Functions

Alexander P. Mangerel

Let $f : N \to C$ be a multiplicative function for which $p : ∣ f (p) ∣ \neq = 1 \sum \frac{1}{p} = \infty.$ We show under this condition alone that for any in…

math.NT2023★ 2 cited

On Elliott's conjecture and applications

Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen

Let $f : N \to D$ be a multiplicative function. Under the merely necessary assumption that $f$ is non-pretentious (in the sense of Granville and Soundararajan), we s…