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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2 papers · 1 filter

math.NT2025

Sharp bounds for maximal sums of odd order Dirichlet characters

Alexander P. Mangerel

Let $g \geq 3$ be fixed and odd, and for large $q$ let $χ$ be a primitive Dirichlet character modulo $q$ of order $g$ . Conditionally on GRH we improve the existing upper bounds in…

math.NT2025

On a rigidity property for quadratic Gauss sums

Alexander P. Mangerel

Let $N$ be a large prime and let $c > 1/4$ . We prove that if $f$ is a $\pm 1$ -valued completely multiplicative function, such that the exponential sums $$ S_f(a) := \sum_{1 \leq n…