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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Terms in the Selberg trace formula for $ {\rm SL}(3,{\bf Z})\backslash {\rm SL}(3,{\bf R})/{\rm SO}(3,{\bf R})$ associated to Eisenstein series coming from a maximal parabolic subgroup


Author: D. I. Wallace
Journal: Proc. Amer. Math. Soc. 106 (1989), 875-883
MSC: Primary 11F72; Secondary 11F55, 22E40
MathSciNet review: 963577
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Abstract: There are two types of Eisenstein series associated to $ \mathrm{SL}(3, \mathbf{Z})$. This paper deals with those which are built out of cuspidal Maass waveforms for $ \mathrm{SL}(2, \mathbf{Z})$. We compute the inner product of two of them over a truncated fundamental region and then compute the rate of divergence as the truncation parameter tends to infinity. The solution of this problem is of use in computing the details of the trace formula for $ \mathrm{SL}(3, \mathbf{Z})$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0963577-9
PII: S 0002-9939(1989)0963577-9
Article copyright: © Copyright 1989 American Mathematical Society