An explicit lower bound on moduli of Dirichlet L-functions at s = 1

Stéphane Louboutin (1)

1 I2M - Institut de Mathématiques de Marseille

Let χ be a non-quadratic primitive Dirichlet character. We improve upon the previously known explicit lower bound on |L(1, χ)|.

Mots clés: L-function; character; values at s=1

Domaines: Théorie des nombres [math.NT]

Stéphane Louboutin. An explicit lower bound on moduli of Dirichlet L-functions at s = 1. Journal of the Ramanujan Mathematical Society, 2015, 30 (1), pp.101-113. ⟨hal-01287993⟩