NON-VANISHING OF DIRICHLET L-FUNCTIONS AT THE CENTRAL POINT

Non-vanishing of Dirichlet L-functions at the Central Point

NON - VANISHING OF QUADRATIC DIRICHLET L - FUNCTIONS AT s = 12 3

Vanishing and non-vanishing Dirichlet twists of L-functions of elliptic curves

Let L(E/Q, s) be the L-function of an elliptic curve E defined over the rational field Q. We examine the vanishing and non-vanishing of the central values L(E, 1, χ) of the twisted L-function as χ ranges over Dirichlet characters of given order.

Vanishing and Non-vanishing Dirichlet Twists of L-functions of Elliptic Curves Jack Fearnley, Hershy Kisilevsky, and Masato Kuwata

Let L(E/Q, s) be the L-function of an elliptic curve E defined over the rational field Q. We examine the vanishing and non-vanishing of the central values L(E, 1, χ) of the twisted L-function as χ ranges over Dirichlet characters of given order.

Non-vanishing of the Central Derivative of Canonical Hecke L-functions

Every Hecke character of K satisfying (1.1) and (1.2) is actually a quadratic twist of a canonical Hecke character (see Section 2 for a precise description of these characters and which fields have them). Let L(s, χ) denote the Hecke L-function of χ, and Λ(s, χ) its completion; Λ(s, χ) satisfies the functional equation Λ(s, χ) = W (χ)Λ(2 − s, χ), where W (χ) = ±1 is the root number. If χ is a c...