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• W2032723565 abstract "The Saito–Kurokawa lifting of automorphic representations from PGL(2) to the projective symplectic group of similitudes PGSp(4) of genus 2 is studied using the Fourier summation formula (an instance of the relative trace formula), thus characterizing the image as the representations with a nonzero period for the special orthogonal group SO(4, E/F) associated to a quadratic extension E of the global base field F, and a nonzero Fourier coefficient for a generic character of the unipotent radical of the Siegel parabolic subgroup. The image is nongeneric and almost everywhere nontempered, violating a naive generalization of the Ramanujan conjecture. Technical advances here concern the development of the summation formula and matching of relative orbital integrals." @default.
• W2032723565 created "2016-06-24" @default.
• W2032723565 creator A5053182383 @default.
• W2032723565 date "2011-06-01" @default.
• W2032723565 modified "2023-09-27" @default.
• W2032723565 title "CUSP FORMS ON GSp(4) WITH SO(4)-PERIODS" @default.
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• W2032723565 doi "https://doi.org/10.1142/s1793042111004186" @default.
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