Page 1

Displaying 1 – 6 of 6

Showing per page

K-finite Whittaker functions are of finite order one

(2013)

Acta Arithmetica

We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.

Currently displaying 1 – 6 of 6

Page 1