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

Takashi Hara, Kenichi Namikawa

Research output: Contribution to journalArticlepeer-review

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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