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

Published 11 Sep 2021 in math.NT and math.RT | (2109.05273v2)

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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Authors (3)

  1. Jian-Shu Li 
  2. Dongwen Liu 
  3. Binyong Sun 

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