GORGE 发表于 2025-3-25 03:30:24
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Some Extensions of the Siegel-Weil Formula,We survey recent extensions of the classical Siegel-Weil formula linking special values of certain Eisenstein series with integrals of theta functions to relations between residues of Eisenstein series and regularized integrals of theta functions.Mendicant 发表于 2025-3-25 12:27:30
A Remark on Eisenstein Series,We prove meromorphic continuation of Eisenstein series for smooth but not necessarily .-finite sections.Lineage 发表于 2025-3-25 19:05:58
http://reply.papertrans.cn/31/3055/305492/305492_24.pngMisnomer 发表于 2025-3-25 20:14:02
Functoriality and Special Values of ,-Functions,This is a semi-expository article concerning Langlands functoriality and Deligne’s conjecture on the special values of .-functions. The emphasis is on symmetric power .-functions associated to a holomorphic cusp form, while appealing to a recent work of Mahnkopf on the special values of automorphic .-functions.鸣叫 发表于 2025-3-26 03:03:25
Bounds for Matrix Coefficients and Arithmetic Applications,We explain an important result of Hee Oh on bounding matrix coefficients of semi-simple groups and survey some applications.Amylase 发表于 2025-3-26 06:23:34
https://doi.org/10.1007/978-3-531-92202-7in . Brubaker, Bump, and Friedberg provided for when n is sufficiently large; the coefficients involve .-th order Gauss sums and reflect the combinatorics of the root system. Conjecturally, these functions coincide with Whittaker coefficients of metaplectic Eisenstein series, but they are stuPtsd429 发表于 2025-3-26 11:03:09
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https://doi.org/10.1007/978-3-531-91129-8 By contrast, the traditional approach is to determine the residues of Eisenstein series in terms of certain .-functions attached to the cuspidal data. The relation between these two methods is the general conjecture which relates periods on the cuspidal data to the existence of poles or the specialphlegm 发表于 2025-3-26 17:46:36
Wee Teck Gan,Stephen S. Kudla,Yuri TschinkelBrings together contributions from diverse areas, exposing users of Eisenstein series to a variety of important applications.Focuses on the common structural properties of Eisenstein series as applied