The MathNet Korea
Information Center for Mathematical Science

PAC

Information Center for Mathematical Science

PAC

SMALL GAPS BETWEEN ZEROS OF TWISTED L-FUNCTIONS
Author K. SOUNDARARAJAN (Stanford University)
Homepage Url http://arxiv.org/find/math/1/au:+Soundararajan_K/0/1/0/all/0/1
Coauthors J. B. CONREY, H. IWANIEC
Abstract We use the asymptotic large sieve, developed by the au- thors, to prove that if the Generalized Riemann Hypothesis is true, then there exist many Dirichlet L-functions that have a pair of consecutive zeros closer together than 0.37 times their average spacing. More gener- ally, we investigate zero spacings within the family of twists by Dirichlet characters of a fixed L-function and give precise bounds for small gaps which depend only on the degree of the L-function.
Abstract Url http://arxiv.org/pdf/1202.2671.pdf