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 2022Show all

3 papers · 1 filter

math.NT2022

Large Sums of High Order Characters

Alexander P. Mangerel

Let $χ$ be a primitive character modulo a prime $q$ , and let $δ > 0$ . It has previously been observed that if $χ$ has large order $d \geq d_{0} (δ)$ then $χ (n) \neq = 1$ for some $n \leq…

math.NT2022

Sign Changes of Fourier Coefficients of Cusp Forms at Norm Form Arguments

Alexander P. Mangerel

Let $f$ be a non-CM Hecke eigencusp form of level 1 and fixed weight, and let ${λ_{f} (n)}_{n}$ be its sequence of normalized Fourier coefficients. We show that if $K / Q$ is…

math.NT2022★ 1 cited

Beyond the Erdős discrepancy problem in function fields

Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen

We characterize the limiting behavior of partial sums of multiplicative functions $f : F_{q} [t] \to S^{1}$ . In contrast to the number field setting, the characterization depends…