Corpus ID: 237491747

# 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}
}
• ian-Shu Li, Dongwen Liu, Binyong Sun
• Published 11 September 2021
• Mathematics
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
• DONGWEN LIU, BINYONG SUN
• 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 aExpand
Rankin-Selberg convolutions for $\mathrm{GL}(n)\times \mathrm{GL}(n)$ and $\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ for principal series representations
• Dongwen Liu, Binyong Sun
• 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 aExpand

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RANKIN-SELBERG CONVOLUTIONS FOR GL ( n ) × GL ( n ) AND GL ( n ) × GL ( n − 1 ) FOR PRINCIPAL SERIES REPRESENTATIONS
• DONGWEN LIU, BINYONG SUN
• 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 aExpand
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