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Speaker:
Dorian Goldfeld
Affiliation:
Columbia University (New York)
Date:
Tue, 23/05/2017 - 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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