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

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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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