Workshop: Distribution of Gaussian primes and zeros of L-functions, Lucile Devin

Speaker
Lucile Devin, Université du Littoral Côte d’Opale

Abstract
In this talk, we are interested in the following question : given a prime that can be written as a sum of two squares \(p = a^2+4b^2\), how does the congruence class of \(a>0\) distribute? This will lead us to study distribution of values of Hecke characters from the point of view of Chebyshev’s bias, as well as distribution of zeros of the associated L-functions and in particular vanishing at 1/2