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seminar

Date/Time: 
Thursday, August 25, 2016 - 04:35 to 05:30
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.

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