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Appendix to Orloff. Critical values of certain tensor product L- functions. (English) Zbl 0625.10022
This paper, as its title implies, is an appendix to the paper reviewed above (Zbl 0625.10021). In it the author explicates the meaning of Deligne’s conjectures about the special values of L-function for r-fold Rankin zeta-functions of cusp forms on \(GL_ 2\). The result of these considerations is given as a conjecture which is much more ‘concrete’ than Deligne’s. In the cases \(r=2\) the validity of this conjecture follows from a theorem of Shimura, and in the case \(r=3\) from the cited work of Orloff.
Reviewer: S.J.Patterson

MSC:
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
11F27 Theta series; Weil representation; theta correspondences
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