an:03895316
Zbl 0562.22004
Arthur, James
On a family of distributions obtained from Eisenstein series. II: Explicit formulas
EN
Am. J. Math. 104, 1289-1336 (1982).
00147318
1982
j
22E55 11F72 43A80 11F70 22E30
Eisenstein series; trace formula; reductive group; truncation polynomials
The goal is to obtain an explicit formula for the Eisenstein series terms in the trace formula for a reductive group over \(\mathbb Q\). The reader must have read the author's previous papers on the subject to understand the problem and solution. The main results include a formula for Arthur's truncation polynomials. The first version of such a formula has defects; e.g. it contains a test function and a limit. The second half of the paper attempts to eliminate this and is based on the assumption that the intertwining operators between induced representations on the local groups can all be suitably normalized. At the time of this paper canonical normalizations had only been found for \(\mathrm{GL}(n)\).
[Part I, cf. ibid. 104, 1243--1288 (1982; Zbl 0541.22010)].
Audrey A. Terras (La Jolla)
Zbl 0541.22010