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, F. Su, 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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TLDR
This note proves a simultaneous extension of the author’s joint result with M. Harris for critical values of Rankin–Selberg L-functions to general CM-fields F and cohomological automorphic representations. Expand
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