Andrés Chirre

activity

20172026

most citedBandlimited approximations and estimates for the Riemann zeta-function

16 citations · 46 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.NT2025

On Goldbach numbers in short intervals

Andrés Chirre, Markus Valås Hagen

Assuming the Riemann Hypothesis, we prove that for all $x \geq 2$ , there exists at least one even integer within the interval $(x, x + 123 lo g^{2} x]$ , that can be expressed as the sum o…

math.NT2025

Optimal bounds for sums of non-negative arithmetic functions

Andrés Chirre, Harald Andrés 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

Andrés Chirre, Harald Andrés 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…