A cohomological interpretation of archimedean zeta integrals for GL 3× GL 2

Takashi Hara, Kenichi Namikawa

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    1 Citation (Scopus)

    Abstract

    By studying an explicit form of the Eichler–Shimura map for GL 3, we describe a precise relation between critical values of the complete L-function for the Rankin–Selberg convolution GL 3× GL 2 over Q and the cohomological cup product of certain rational cohomology classes which are uniquely determined up to rational scalar multiples from the cuspidal automorphic representations under consideration. This refines rationality results on critical values due to Raghuram et al.

    Original languageEnglish
    Article number68
    JournalResearch in Number Theory
    Volume7
    Issue number4
    DOIs
    Publication statusPublished - Dec 2021

    All Science Journal Classification (ASJC) codes

    • Algebra and Number Theory

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