Seminars & Colloquia Calendar
Analytic ranks of automorphic L-functions and Landau-Siegel zeros
Hung Bui (The University of Manchester)
Date & time: Tuesday, 30 March 2021 at 2:00PM - 3:00PM
Abstract: Brumer and Ram Murty independently conjectured that almost all newforms of weight 2 and level q have analytic rank <= 1. In this talk we will relate this problem to the study of Landau-Siegel zeros. In particular, we show that either Landau-Siegel zeros do not exist, or that almost all such newforms with q prime have analytic rank <= 2. This is joint work with Kyle Pratt and Alexandru Zaharescu.
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