Mathematical Research Letters
Volume 19 (2012)
On the local and global exterior square $L$-functions of $GL_n$
Pages: 785 – 804
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.
exterior square L-functions
2010 Mathematics Subject Classification