ON THE GLOBAL ROOT NUMBERS OF GL(n)× GL(m)

Abstract

which converges absolutely in R(s) > 1. One knows by Jacquet, Piatetski-Shapiro and Shalika ([JPSS]), and Shahidi ([Sh1]), that this L-function extends to a meromorphic function on all of C and admits a functional equation L(s, π × π) = W (π × π)(N(π × π)dF ) 1 2 L(1− s, π × π ∨ ). Here π (resp. π ∨ ) denotes the contragredient of π (resp. π), dF the… (More)

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@inproceedings{Prasad2007ONTG, title={ON THE GLOBAL ROOT NUMBERS OF GL(n)× GL(m)}, author={Dipendra Prasad and D. Ramakrishnan and Giuliano L. M. Shimura}, year={2007} }