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- W2116764946 abstract "In this paper, we show how one can use an inner product formula of Heim giving the inner product of the pullback of an Eisenstein series from Sp 10 to Sp 2 × Sp 4 × Sp 4 with a new-form on GL 2 and a Saito–Kurokawa lift to produce congruences between Saito–Kurokawa lifts and non-CAP forms. This congruence is in part controlled by the L-function on GSp 4 × GL 2 . The congruence is then used to produce nontrivial torsion elements in an appropriate Selmer group, providing evidence for the Bloch–Kato conjecture." @default.
- W2116764946 created "2016-06-24" @default.
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- W2116764946 date "2010-12-01" @default.
- W2116764946 modified "2023-09-23" @default.
- W2116764946 title "SPECIAL VALUES OF L-FUNCTIONS ON GSp4 × GL2 AND THE NON-VANISHING OF SELMER GROUPS" @default.
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- W2116764946 doi "https://doi.org/10.1142/s1793042110003769" @default.
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