On the nonvanishing hypothesis for Rankin-Selberg convolutions for GL_n(\mathbb C)× GL_n(\mathbb C)

2016/12/29 by Dong, Chao-Ping, Xue, Huajian
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1612.09107

Abstract

Inspired by Sun's breakthrough in establishing the nonvanishing hypothesis for Rankin-Selberg convolutions for the groups GL_n (\mathbb R)× GL_n-1 (\mathbb R) and GL_n (\mathbb C)× GL_n-1 (\mathbb C), we confirm it for GL_n (\mathbb C)× GL_n (\mathbb C) at the central critical point.

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