On the local and global exterior square L-functions

2012/01/19 by Kewat, Pramod Kumar, Raghunathan, Ravi
#11F70 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1201.4126

Abstract

We show that the local exterior square L-functions of GL_n constructed via the theory of integral representations by Jacquet and Shalika coincide with those constructed by the Langlands-Shahidi method for square integrable representations (and for all irreducible representations when n is even). We also deduce several local and global consequences.

Related

• The functional equation of the Jacquet-Shalika integral representation\n of the local exterior-square L-function
• Derivatives and Exceptional Poles of the Local Exterior Square L-Function for GL_m
• The Dirichlet Series for the Exterior Square L-function on GL(n)
• The archimedean theory of the Exterior Square L-functions over Q
• Distinguished representations, base change, and reducibility for unitary groups