Truncation of Eisenstein series
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The authors built upon the first author's previous work on truncation of Eisenstein series [Clay Math. Proc. 13, 309--331 (2011; Zbl 1242.22025)], and obtain an explicit formula for the truncation of a general Eisenstein series (Proposition 13). From this explicit formula they derive a generalization of the Maass-Selberg relation on inner product of truncated Eisenstein series, and in particular they recover Arthur's asymptotic inner product formula. The proof is a smart argument based on some combinatorial lemmas.
truncation, Representation-theoretic methods; automorphic representations over local and global fields, Eisenstein series, Spectral theory; trace formulas (e.g., that of Selberg), Maass-Selberg relation, spectral theory
truncation, Representation-theoretic methods; automorphic representations over local and global fields, Eisenstein series, Spectral theory; trace formulas (e.g., that of Selberg), Maass-Selberg relation, spectral theory
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