PULLBACKS OF EISENSTEIN SERIES FROM GU(3, 3) AND CRITICAL L-VALUES FOR GSp(4)×GL(2)
نویسنده
چکیده
Let F be a genus two Siegel newform and g a classical newform, both of squarefree levels and of equal weight l. We prove a pullback formula for certain Eisenstein series — thus generalizing a construction of Shimura — and use this to derive an explicit integral representation for the degree eight L-function L(s, F × g). This integral representation involves the pullback of a simple Siegel-type Eisenstein series on the unitary group GU(3, 3). As an application, we prove a reciprocity law — predicted by Deligne’s conjecture — for the critical special values L(m,F × g) where m ∈ Z, 2 ≤ m ≤ l 2 −
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