On the holomorphy of exterior-square L-functions
Abstract
In this paper, we show that the twisted partial exterior-square L-function has a meromorphic continuation to the whole complex plane with only two possible simple poles at s = 1 and s = 0. We do this by establishinng the nonvanishing of the local zeta integrals defined by Jacquet and Shalika for any fixed s 0. The even case is treated in detail. The odd case is treated briefly, in which case, the L-function is shown to be entire.
Degree
Ph.D.
Advisors
Shahidi, Purdue University.
Subject Area
Applied Mathematics|Mathematics
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