Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields - Mathematics > Number TheoryReport as inadecuate




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Abstract: We give a construction of a wide class of modular symbols attached toreductive groups. As an application we construct a p-adic distributioninterpolating the special values of the twisted Rankin-Selberg L-functionattached to cuspidal automorphic representations of GLn and GLn-1 overnumber fields. If the representations are ordinary at p, our distribution isbounded and yields analyticity of the associated p-adic L-function.



Author: Fabian Januszewski

Source: https://arxiv.org/



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