Exceptional characters and nonvanishing of Dirichlet L-functions

Let 𝜓 be a real primitive character modulo D. If the L-function 𝐿(𝑠,𝜓) has a real zero close to 𝑠=1, known as a Landau–Siegel zero, then we say the character 𝜓 is exceptional. Under the hypothesis that such exceptional characters exist, we prove that at least fifty percent of the central values 𝐿(1/...

Full description

Bibliographic Details
Main Authors: Bui, HM, Pratt, K, Zaharescu, A
Format: Journal article
Language:English
Published: Springer 2021