Fabian Januszewski
Published 2016-04-14Version 1
We study Hecke algebras for pairs (g,K) over arbitrary fields E of characteristic 0, define the Bernstein functor and give another definition of the Zuckerman functor over E. Building on this we show that hard duality remains valid over E and apply this result to the study of rationality properties of Sun's cohomologically induced functionals. Our main application are period relations for the special values of standard L-functions of automorphic representations of GL(2n) admitting Shalika models.
On automorphic L-functions in positive characteristic
Automorphic L-functions and functoriality
Period relations and special values of Rankin-Selberg $L$-functions
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