On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions

Details On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions

2012-03-29

arxiv.org/abs/1203.6667v1

Mathematics

Number Theory

43 pages

Scientific paper

We present an explicit approach to the GL(3) Kuznetsov formula. As an application, for a restricted class of test functions, we obtain the low-lying zero densities for the following three families: cuspidal GL(3) Maass forms phi, the symmetric square family sym^2 phi on GL(6), and the adjoint family Ad phi on GL(8). Hence we can identify their symmetry types; they are: unitary, unitary, and symplectic, respectively.

Affiliated with

Also associated with

No associations

Rating

On the GL(3) Kuznetsov Formula with applications to Symmetry Types 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 On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-63612