Period relations for Rankin-Selberg convolutions for GL(n)× GL(n-1)

2021/09/11 by ian-Shu Li, Li, Jian-Shu, Dongwen Liu +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2109.05273

Abstract

We formulate and prove the archimedean period relations for Rankin-Selberg convolutions for GL(n)× GL(n-1). As a consequence, we prove the period relations for critical values of the Rankin-Selberg L-functions for GL(n)× GL(n-1) over arbitrary number fields.

Citations

• On Euler Products and the Classification of Automorphic Forms II

Cited by

• Rankin-Selberg convolutions for GL(n)× GL(n) and GL(n)× GL(n-1) for principal series representations

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