Multiple Dirichlet Series and Automorphic Forms
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چکیده
This article gives an introduction to the multiple Dirichlet series arising from sums of twisted automorphic L-functions. We begin by explaining how such series arise from Rankin-Selberg constructions. Then more recent work, using Hartogs’ continuation principle as extended by Bochner in place of such constructions, is described. Applications to the nonvanishing of Lfunctions and to other problems are also discussed, and a multiple Dirichlet series over a function field is computed in detail.
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تاریخ انتشار 2005