Prime density results for Hecke eigenvalues of a Siegel cusp form

Details Prime density results for Hecke eigenvalues of a Siegel cusp form Prime density results for Hecke eigenvalues of a Siegel cusp form

2010-07-27

arxiv.org/abs/1007.4732v2

Mathematics

Number Theory

8 pages. Minor changes made over previous version. To appear in Int. J. Number Theory

Scientific paper

Let F in S_k(Sp(2g, Z)) be a cuspidal Siegel eigenform of genus g with normalized Hecke eigenvalues mu_F(n). Suppose that the associated automorphic representation pi_F is locally tempered everywhere. For each c>0 we consider the set of primes p for which |mu_F(p)| >= c and we provide an explicit upper bound on the density of this set. In the case g=2, we also provide an explicit upper bound on the density of the set of primes p for which mu_F(p) >= c.

Affiliated with

Also associated with

No associations

Rating

Prime density results for Hecke eigenvalues of a Siegel cusp form 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 Prime density results for Hecke eigenvalues of a Siegel cusp form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Prime density results for Hecke eigenvalues of a Siegel cusp form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321175