+91-674-249-4082
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.
School of Mathematical Sciences
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Tel: +91-674-249-4081