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Period relations for Rankin–Selberg convolutions for ${\mathrm {GL}}(n)\times {\mathrm {GL}}(n-1)$
Part of
- Lie groups
- Discontinuous groups and automorphic forms
Jian-Shu Li, Dongwen Liu, Binyong Sun
Journal:

Compositio Mathematica / Volume 160 / Issue 8 / August 2024

Published online by Cambridge University Press:

11 September 2024, pp. 1871-1915

Print publication:

August 2024
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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.