The Adjoint L-function for GL₅

Authors

David Ginzburg, Tel Aviv University
Joseph Hundley, Southern Illinois University CarbondaleFollow

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Electronic Research Announcements in Mathematical Sciences following peer review. The definitive publisher-authenticated version in Electronic Research Announcements in Mathematical Sciences, Vol. 15, 24–32 is available online at: http://www.aimsciences.org/journals/pdfs.jsp?paperID=3232&mode=full.

Abstract

We describe two new Eulerian Rankin-Selberg integrals, using the same Eisenstein series defined on the group E₈, and cuspidal representations from GL₅ and GSpin₁₁, respectively. Connections with past work of Ginzburg, Bump-Ginzburg, Jiang-Rallis and others are described. We give some details of how to relate our two integrals via formal manipulations.

Recommended Citation

Ginzburg, David and Hundley, Joseph. "The Adjoint L-function for GL₅." (Jan 2008).