Venue
SMS seminar Hall
Speaker
Srilakshmi Krishnamoorthy
Affiliation
Indian Institute of Technology Chennai
Title
ON THE FOURIER COEFFICIENTS OF A COHEN-EISENSTEIN SERIES
In the first part of this talk, we present a formula for the coefficients of a weight 3/2Cohen-Eisenstein series of squarefree level N. This formula generalizes a result of Gross and it provesin particular a conjecture of Quattrini. In the second part, we explain the proof of this formula andas an application, we discuss the distribution of the order of the Tate-Shafarevich groups #ShD ofquadratic twists of elliptic curves.