An even parity instance of the Goldfeld conjecture

Abstract: In 1979 D. Goldfeld conjectured: 50% of the quadratic twists of an elliptic curve over the rationals have analytic rank zero. We present the first instance - the congruent number elliptic curves (joint with Y. Tian).

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Columbia Automorphic Forms and Arithmetic Seminar