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

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

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 the fifth and the seventh symmetric pow...

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2009

ISSN: 1687-0247,1073-7928

DOI: 10.1093/imrn/rnp127