L-functions in Analytic Number Theory: Lucile Devin

Generalizing the original Chebyshev bias can go in many directions: one can adapt the setting to virtually any equidistribution result encoded by a finite number of L-functions. In this talk, we will discuss what happens when one needs an infinite number of L-functions. This will be illustrated by the following question: given a prime that can be written as a sum of two squares p = a²+4b², how does the congruence class of a>0 distribute?