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arXiv · 2109.05273

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times \mathrm{GL}(n-1)$

Jian-Shu Li·Dongwen Liu·Binyong Sun
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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.

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Jian-Shu Li, Dongwen Liu, Binyong Sun. 2021-09-11. Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times \mathrm{GL}(n-1)$. https://arxiv.org/abs/2109.05273

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