H. Helfgott

collaborators

3 papers

math.NT2025

Optimal bounds for sums of non-negative arithmetic functions

AndrÃ©s Chirre, Harald AndrÃ©s Helfgott

Let $A (s) = \sum_{n} a_{n} n^{- s}$ be a Dirichlet series admitting meromorphic continuation to the complex plane. Assume we know the location of the poles of $A (s)$ with $|\Im s| \leq…

math.NT2025

Optimal bounds for sums of bounded arithmetic functions

AndrÃ©s Chirre, Harald AndrÃ©s Helfgott

Let $A (s) = \sum_{n} a_{n} n^{- s}$ be a Dirichlet series with meromorphic continuation. Say we are given information on the poles of $A (s)$ with $∣ℑ s ∣ \leq T$ for some large constan…

math.GR2024

Growth estimates and diameter bounds for untwisted classical groups

Babai's conjecture states that, for any finite simple non-abelian group $G$ , the diameter of $G$ is bounded by $(lo g ∣ G ∣)^{C}$ for some absolute constant $C$ . We prove that, for an…