Explicit calculations of automorphic forms for definite unitary groups

Details Explicit calculations of automorphic forms for definite unitary groups Explicit calculations of automorphic forms for definite unitary groups

2008-01-21

arxiv.org/abs/0801.3176v3

LMS J. Comput. Math 11 (2008), 326-342

Mathematics

Number Theory

This version fixes an error pointed out by my PhD examiners -- the previous version cited a form of Ramanujan's conjecture whi

Scientific paper

10.1112/S1461157000000620

I give an algorithm for computing the full space of automorphic forms for definite unitary groups over Q, and apply this to calculate the automorphic forms of level $G(Z-hat)$ and various small weights for an example of a rank 3 unitary group. This leads to some examples of various types of endoscopic lifting from automorphic forms for U_1 x U_1 x U_1 and U_1 x U_2, and to an example of a non-endoscopic form of weight (3,3) corresponding to a family of 3-dimensional irreducible l-adic Galois representations. I also compute the 2-adic slopes of some automorphic forms with level structure at 2, giving evidence for the local constancy of the slopes.

Affiliated with

Also associated with

No associations

Rating

Explicit calculations of automorphic forms for definite unitary groups 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 Explicit calculations of automorphic forms for definite unitary groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit calculations of automorphic forms for definite unitary groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-594171