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arxiv: 1612.04411 · v1 · pith:UYMEUCIFnew · submitted 2016-12-13 · 🧮 math.RT · math.NT

Sur une variante des troncatures d'Arthur

classification 🧮 math.RT math.NT
keywords functionsarthurborrowedbundlesclasscontributionseisensteinfield
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We show that, for a large class of test functions, the unipotent contributions in the trace formula for $GL(n)$ over a number field, can be obtained from zeta functions and integrals of Eisenstein series. The main innovation is a new truncation borrowed from a work of Schiffmann on Higgs bundles.

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