In the first part of this talk, we present a formula for the coefficients of a weight 3/2 Cohen-Eisenstein series of squarefree level N. This formula generalizes a result of Gross and it proves in particular a conjecture of Quattrini. In the second part, we explain the proof of this formula and as an application, we discuss the distribution of the order of the Tate-Shafarevich groups #Sh_D of quadratic twists of elliptic curves.
Date and Time : 03-04-2017 TBA
Venue : TBA
Speaker : Srilakshmi Krishnamoorthy