The Selberg trace formula for 𝑆𝐿(3,𝑍)\𝑆𝐿(3,𝑅)/𝑆𝑂(3,𝑅)

Wallace, D. I.

doi:10.1090/S0002-9947-1994-1184117-4

The Selberg trace formula for $\textrm {SL}(3,\textbf {Z})\backslash \textrm {SL}(3,\textbf {R})/\textrm {SO}(3,\textbf {R})$
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by D. I. Wallace

Trans. Amer. Math. Soc. 345 (1994), 1-36

DOI: https://doi.org/10.1090/S0002-9947-1994-1184117-4

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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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