Didier Lesesvre

L-functions appear as generating functions encapsulating information about various objects such as Galois representations, elliptic curves, arithmetic functions, modular forms, Maass forms, etc. Studying L-functions is therefore of utmost importance...

In 1671, Bachet conjectured that every natural number can be written as sum of four squares. A century of efforts and ideas was needed for Lagrange to reach a proof, and almost another century for Jacobi to quantify precisely this result. Today...

In practice, L-functions appear as generating functions encapsulating information about various objects, such as Galois representations, elliptic curves, arithmetic functions, modular forms, Maass forms, etc. Studying L-functions is therefore of...