Terms in the Selberg trace formula for 𝑆𝐿(3,𝒵)\𝒮ℒ(3,ℛ)/𝒮𝒪(3,ℛ) associated to Eisenstein series coming from a minimal parabolic subgroup

Wallace, D. I.

doi:10.1090/S0002-9947-1991-1031979-4

Terms in the Selberg trace formula for $\textrm {SL}(3,{\scr Z})\backslash \textrm {SL}(3,{\scr R})/\textrm {SO}(3,{\scr R})$ associated to Eisenstein series coming from a minimal parabolic subgroup
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by D. I. Wallace

Trans. Amer. Math. Soc. 327 (1991), 781-793

DOI: https://doi.org/10.1090/S0002-9947-1991-1031979-4

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Abstract:

In this paper we compute the contribution to the trace formula for $SL(3,\mathcal {Z})$ of the integrals associated to inner products of Eisenstein series. We show these reduce to corresponding integrals for a lower rank trace formula plus a few residual terms.

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The Selberg trace formula for

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