Article ID Journal Published Year Pages File Type
4595119 Journal of Number Theory 2008 9 Pages PDF
Abstract

We present a unified characterization of Whittaker newforms for infinite-dimensional admissible representations π of GL(2,R) and GL(2,C). We connect this problem with that of finding test vectors for toric linear forms on the representation space of π. This method allows us to treat in the same way the real and complex fields, thus identifying Whittaker newforms in all cases, including those previously unavailable in the literature.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory