A. Languasco

activity

20072024

most citedThe number of Goldbach representations of an integer

26 citations · 268 across the 41 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.NT2020★ 9 cited

Uniform effective estimates for $∣ L (1, χ) ∣$

Alessandro Languasco, Timothy S. Trudgian

Let $L (s, χ)$ be the Dirichlet $L$ -function associated to a non-principal primitive Dirichlet character $χ$ defined modulo $q$ , where $q \geq 3$ . We prove, under the assumption of the…

math.NT2020★ 6 cited

Numerical verification of Littlewood's bounds for $∣ L (1, χ) ∣$

Alessandro Languasco

Let $L (s, χ)$ be the Dirichlet $L$ -function associated to a non trivial primitive Dirichlet character $χ$ defined $mod q$ , where $q$ is an odd prime. In this paper we introduce a…

math.NT2020

Small values of $∣ L^{'} / L (1, χ) ∣$

Youness Lamzouri, Alessandro Languasco

In this paper, we investigate the quantity $m_{q} := min_{χ \neq = χ_{0}} ∣ L^{'} / L (1, χ) ∣$ , as $q \to \infty$ over the primes, where $L (s, χ)$ is the Dirichlet $L$ -function attached to a n…

math.NT2020★ 15 cited

A fast algorithm to compute the Ramanujan-Deninger gamma-function and some number-theoretic applications

Alessandro Languasco, Luca Righi

We introduce a fast algorithm to compute the Ramanujan-Deninger gamma function and its logarithmic derivative at positive values. Such an algorithm allows us to greatly extend the…

Uniform effective estimates for ∣L(1,χ)∣

Numerical verification of Littlewood's bounds for ∣L(1,χ)∣

Small values of ∣L′/L(1,χ)∣

A fast algorithm to compute the Ramanujan-Deninger gamma-function and some number-theoretic applications

Uniform effective estimates for $∣ L (1, χ) ∣$

Numerical verification of Littlewood's bounds for $∣ L (1, χ) ∣$

Small values of $∣ L^{'} / L (1, χ) ∣$