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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Terms in the Selberg trace formula for $\textrm {SL}(3,\textbf {Z})\backslash \textrm {SL}(3,\textbf {R})/\textrm {SO}(3,\textbf {R})$ associated to Eisenstein series coming from a maximal parabolic subgroup
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by D. I. Wallace PDF
Proc. Amer. Math. Soc. 106 (1989), 875-883 Request permission

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 $\mathrm {SL}(3, \mathbf {Z})$.
References
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 875-883
  • MSC: Primary 11F72; Secondary 11F55, 22E40
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0963577-9
  • MathSciNet review: 963577