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Speaker:

Dorian Goldfeld
Affiliation:

Columbia University (New York)
Date:

Tue, 2017-05-23 15:00 - 15:50
Location:

MPIM Lecture Hall
Parent event:

Conference "Modular forms are everywhere" Zhiwei Yun and Wei Zhang introduced the notion of "super-positivity of self-dual L-functions" which specifies that all derivatives of the completed L-function (including Gamma factors and power of the conductor) at the central value s=1/2 should be non-negative. They proved that the Riemann hypothesis implies super-positivity for self dual cuspidal automorphic L-functions on GL(n).

This talk is based on recent joint work with Bingrong Huang where we prove, for the first time, that there are infinitely many L-functions associated to modular forms for SL(2,ℤ) each of which has the super-positivity property.

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