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Period relations for Rankin–Selberg convolutions for 
${\mathrm {GL}}(n)\times {\mathrm {GL}}(n-1)$
Published online by Cambridge University Press: 11 September 2024
Abstract
We formulate and prove the archimedean period relations for Rankin–Selberg convolutions for 
${\mathrm {GL}}(n)\times {\mathrm {GL}}(n-1)$. As a consequence, we prove the period relations for critical values of the Rankin–Selberg L-functions for 
${\mathrm {GL}}(n)\times {\mathrm {GL}}(n-1)$ over arbitrary number fields.
Keywords
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- Research Article
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- © 2024 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence
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