On the local and global exterior square L-functions

Mathematics – Number Theory

Scientific paper

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22 pages

Scientific paper

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.

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