2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2023★ 2 cited
On Elliott's conjecture and applications
Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen
Let be a multiplicative function. Under the merely necessary assumption that is non-pretentious (in the sense of Granville and Soundararajan), we s…
math.NT2021
Three conjectures about character sums
Andrew Granville, Alexander P. Mangerel
We establish that three well-known and rather different looking conjectures about Dirichlet characters and their (weighted) sums, (concerning the Pólya-Vinogradov theorem for maxim…
math.NT2017
Large odd order character sums and improvements of the Pólya-Vinogradov inequality
Youness Lamzouri, Alexander P. Mangerel
For a primitive Dirichlet character modulo , we define . In this paper, we study this quantity for characters of a fixed odd order $g\…