Remarks on the symmetric powers of cusp forms on GL(2)

Details Remarks on the symmetric powers of cusp forms on GL(2) Remarks on the symmetric powers of cusp forms on GL(2)

2007-10-03

arxiv.org/abs/0710.0676v2

Automorphic Forms and L-functions I; Global Aspects, Proceedings in honor of Steve Gelbart on the occasion of his sixtieth bir

Mathematics

Number Theory

A sentence has been modified in the Introduction. It has nothing to do with the main result of the paper

Scientific paper

In this paper we prove the following conditional result: Let F be a number field, and pi a cusp form on GL(2)/F which is not solvable polyhedral. Assume that all the symmetric powers sym^m(pi) are modular, i.e., define automorphic forms on GL(m+1)/F. If sym^6(pi) is cuspidal, then all the symmetric powers are cuspidal, for all m. Moreover, sym^6(pi) is Eisenteinian iff sym^5(pi) is an abelian twist of the functorial product of pi with the symmetric square of a cusp form pi' on GL(2)/F.

Affiliated with

Also associated with

No associations

Rating

Remarks on the symmetric powers of cusp forms on GL(2) 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 Remarks on the symmetric powers of cusp forms on GL(2), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on the symmetric powers of cusp forms on GL(2) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285252