Mathematics of Repulsive Behavior in an Exceptional Family

Mathematics sometimes is all about family. Here is one of those times:

“Repulsive Behavior in an Exceptional Family,” Jeffrey Stopple, arXiv:1108.6272, August 31, 2011. Stoppel, at the University of California, Santa Barbara, writes, using the royal “we”:

“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.”