Low lying zeros of families of L-functions

Details Low lying zeros of families of L-functions Low lying zeros of families of L-functions

1999-01-19

arxiv.org/abs/math/9901141v1

Mathematics

Number Theory

Abstract added in migration (from introduction)

Scientific paper

In Iwaniec-Sarnak [IS] the percentages of nonvanishing of central values of families of GL_2 automorphic L-functions was investigated. In this paper we examine the distribution of zeros which are at or neat s=1/2 (that is the central point) for such families of L-functions. Unlike [IS], most of the results in this paper are conditional, depending on the Generalized Riemann Hypothesis (GRH). It is by no means obvious, but on the other hand not surprising, that this allows us to obtain sharper results on nonvanishing.

Affiliated with

Also associated with

No associations

Rating

Low lying zeros of families of L-functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Low lying zeros of families of L-functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low lying zeros of families of L-functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-668813