SPECIAL VALUES OF L-FUNCTIONS ON GSp4 × GL2 AND THE NON-VANISHING OF SELMER GROUPS
2010 ◽
Vol 06
(08)
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pp. 1901-1926
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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 Sp10 to Sp 2 × Sp 4 × Sp 4 with a new-form on GL2 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.
2019 ◽
Vol 15
(10)
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pp. 2135-2150
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1989 ◽
Vol 78
(400)
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pp. 0-0
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2015 ◽
Vol 11
(04)
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pp. 1233-1257
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2011 ◽
Vol 27
(11)
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pp. 2285-2300
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2020 ◽
Vol 63
(4)
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pp. 921-936
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2016 ◽
Vol 60
(2)
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pp. 201-222
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1996 ◽
Vol 54
(2)
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pp. 267-274
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2014 ◽
Vol 10
(07)
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pp. 1649-1674
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