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Authors
Affiliations
1 Department of Mathematics, University of Oklahoma, Norman, OK 73019, US
Source
Journal of the Ramanujan Mathematical Society, Vol 24, No 1 (2009), Pagination: 87-111
Abstract
A result of Chai-Faltings on Satake parameters of Siegel cusp forms together with the classification of unitary, unramified, irreducible, admissible representations of GSp4 over a p-adic field, imply that the local components of the automorphic representation of GSp4 attached to a cuspidal Siegel eigenform of degree 2 must lie in certain families. Applications include estimates on Hecke eigenvalues, an improved domain of convergence of the standard L-function, and a new characterization of the Maaß space.