On the Special Values of Certain Rankin–selberg L-functions and Applications to Odd Symmetric Power L-functions of Modular Forms

Abstract

We prove an algebraicity result for the central critical value of certain RankinSelberg L-functions for GLn×GLn−1. This is a generalization and refinement of the results of Harder [15], Kazhdan, Mazur and Schmidt [23], Mahnkopf [29], and Kasten and Schmidt [22]. As an application of this result, we prove algebraicity results for certain critical values of… (More)

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