Zeta functions and the trace formula
Werner Hoffmann
Universität Bielefeld, Germany
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Abstract
Prehomogeneous vector spaces provide a framework for the method of analytic continuation of zeta integrals due to Hecke and Tate. We will describe instances where convergence can only be achieved by truncation. Special values of such zeta integrals appear in the Arthur–Selberg trace formula, and their study is relevant in connection with recent ideas in the Langlands program.