ON THE ABSOLUTE CONVERGENCE OF THE SPECTRAL SIDE OF THE ARTHUR TRACE FORMULA FOR GLn
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چکیده
Let G be a reductive algebraic group defined over Q and let A be the ring of adèles of Q. The spectral side of the Arthur trace formula for G is a sum of distributions on G(A) which are defined in terms of truncated Eisenstein series. In general, the spectral side is only known to be conditionally convergent. In this paper we prove that for GLn, the spectral side of the trace formula is absolutely convergent.
منابع مشابه
ABSOLUTE CONVERGENCE OF THE SPECTRAL SIDE OF THE ARTHUR TRACE FORMULA FOR GLn
Let E be a number field and let G be the group GLn considered as reductive algebraic group over E. Let A be the ring of adèles of E and let G(A) be the group of points of G with values in A. Let G(A) be the intersection of the kernels of the maps x 7→ |χ(x)|, x ∈ G(A), where χ ranges over the group X(G)E of characters of G defined over E. Then the (noninvariant) trace formula of Arthur is an id...
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