# Archimedean period relations and period relations for Rankin-Selberg convolutions

@inproceedings{Li2021ArchimedeanPR, title={Archimedean period relations and period relations for Rankin-Selberg convolutions}, author={ian-Shu Li and Dongwen Liu and Binyong Sun}, year={2021} }

We prove the Archimedean period relations for Rankin-Selberg convolutions for GL(n) × GL(n − 1). This implies the period relations for critical values of the Rankin-Selberg L-functions for GL(n)×GL(n− 1).

#### 2 Citations

RANKIN-SELBERG CONVOLUTIONS FOR GL ( n ) × GL ( n ) AND GL ( n ) × GL ( n − 1 ) FOR PRINCIPAL SERIES REPRESENTATIONS

- 2021

Let k be a local field. Let Iν and Iν′ be smooth principal series representations of GLn(k) and GLn−1(k) respectively. The Rankin-Selberg integrals yield a continuous bilinear map Iν × Iν′ → C with a… Expand

Rankin-Selberg convolutions for $\mathrm{GL}(n)\times \mathrm{GL}(n)$ and $\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ for principal series representations

- Mathematics
- 2021

Let k be a local field. Let Iν and Iν′ be smooth principal series representations of GLn(k) and GLn−1(k) respectively. The Rankin-Selberg integrals yield a continuous bilinear map Iν × Iν′ → C with a… Expand

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RANKIN-SELBERG CONVOLUTIONS FOR GL ( n ) × GL ( n ) AND GL ( n ) × GL ( n − 1 ) FOR PRINCIPAL SERIES REPRESENTATIONS

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Let k be a local field. Let Iν and Iν′ be smooth principal series representations of GLn(k) and GLn−1(k) respectively. The Rankin-Selberg integrals yield a continuous bilinear map Iν × Iν′ → C with a… Expand

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