Journal of the Ramanujan Mathematical Society

Daniel Bump ¹, Solomon Friedberg ², David Ginzburg ³

Affiliations
1 Department of Mathematics, Stanford University, Stanford, CA 94305-2125, US
2 Department of Mathematics, Boston College, Chestnut Hill, MA 02467-3806, US
3 School of Mathematical Sciences, Sadder Faculty of Exact Sciences, Tel Aviv University, Ramat-Aviv, 69978, IL

Abstract

We show that a certain residue of a metaplectic Eisenstein series on SO₇ affords the automorphic minimal representation, whose local theory was described by Torasso, Roskies and Sabourin. As an application, we give a Rankin-Selberg construction of the Langlands L-function for the third fundamental representation of the L-group Sp(6,C), which is an Euler product of degree 14 attached to a generic cusp form on SO₇.

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