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Renormalized Periods on GL(3)

Published online by Cambridge University Press:  20 November 2018

Jennifer Beineke  and
Daniel Bump
Jennifer Beineke
Affiliation:
Department of Mathematics and Computer Science, Western New England College, Springfield, Massachusetts 01119, USA e-mail: jbeineke@wnec.edu
Daniel Bump
Affiliation:
Department of Mathematics, Stanford University, Stanford, California 94305-2125, USA e-mail: bump@math.stanford.edu
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Abstract

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A theory of renormalization of divergent integrals over torus periods on $\text{GL}\left( 3 \right)$ is given, based on a relative truncation. It is shown that the renormalized periods of Eisenstein series have unexpected functional equations.

Keywords

Primary:11F12secondary:11F55
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 55 , Issue 5 , 01 October 2003 , pp. 933 - 968
Copyright
Copyright © Canadian Mathematical Society 2003

References

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