August 1, 2024

Period relations for Rankin–Selberg convolutions for {GL} (n) {GL} (n-1)

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Abstract

We formulate and prove the archimedean period relations for Rankin–Selberg convolutions for {GL} (n) {GL} (n-1). As a consequence, we prove the period relations for critical values of the Rankin–Selberg L-functions for {GL} (n) {GL} (n-1) over arbitrary number fields.

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Li et al. (Thu,) studied this question.

synapsesocial.com/papers/68e5dd88b6db643587572b13 https://doi.org/https://doi.org/10.1112/s0010437x24007280

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