Titlebook: Local Newforms for GSp(4); Brooks Roberts,Ralf Schmidt Book 2007 Springer-Verlag Berlin Heidelberg 2007 Eigenvalue.Newforms.Node.Represent

作茧自缚

tics. Weber, he says, introduced him to “national thinking,” which had hitherto been alien to him, and Weber pointed out to him the responsibility that Germany had as a land of great power to prevent “the world from being divided between Russian knout and Anglo-Saxon convention.” Here a messianic, n

inspiration

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to be necessary for understanding the KF reaction. The ap­ plications are described more fully. Specific details which may interest a particular reader can be f978-3-642-69991-7978-3-642-69989-4Series ISSN 0172-4967

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Proofs of the Main Theorems,ns; see Theorem 5.6.1. Another application is the computation of .(.) in terms of the basic invariants of the newform, namely the level, the Atkin– Lehner eigenvalue, and the Hecke eigenvalues; furthermore, this formula for .(.) for generic . motivates the formula for .(.) for non-generic ., where . is the .-parameter of ..

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Representation Theory,dence for GSp(4) as regards non-supercuspidal representations. As it happens, the desiderata of the conjectural local Langlands correspondence determine the .-parameters attached to all non-supercuspidal representations, and we describe these .-parameters explicitly.

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uncertain

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