Number Theory Seminar: Jeffrey Stopple (UCSB), 'Repulsive behavior in an exceptional family'

Event Date: 

Friday, October 5, 2012 - 2:00pm to 3:00pm

Event Location: 

  • 6635 South Hall

The existence of a Landau-Siegel zero leads to the Deuring-Heilbronn phenomenon, here appearing in the 1-level density in a family of quadratic twists of a fixed genus character L-function. We obtain explicit lower order terms describing the vertical distribution of the zeros, and realize the influence of the Landau-Siegel zero as a resonance phenomenon. preprint.