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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The Selberg trace formula for $ {\rm SL}(3,{\bf Z})\backslash{\rm SL}(3,{\bf R})/{\rm SO}(3,{\bf R})$


Author: D. I. Wallace
Journal: Trans. Amer. Math. Soc. 345 (1994), 1-36
MSC: Primary 11F72
MathSciNet review: 1184117
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Abstract: In this paper we compute the trace formula for $ SL(3,\mathbb{Z})$ in detail and refine it to a greater extent than has previously been done. We show that massive cancellation occurs in the parabolic terms, leading to a far simpler formula than had been thought possible.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1184117-4
PII: S 0002-9947(1994)1184117-4
Article copyright: © Copyright 1994 American Mathematical Society