Low Lying Zeros of Hecke $L$-Functions

Organisé par

Institut Henri Poincaré

The one-level density measures the statistical distribution of zeros across a family of $L$-functions near the central point. In this talk, I will present several results concerning the one-level density for families of $L$-functions associated to CM elliptic curves of the form $y^2=x^3-dx$. The talk will moreover discuss applications to bounding the average rank of such curves (joint work with Ch

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