WHITTAKER-FOURIER COEFFICIENTS OF CUSP FORMS ON <(Spn)over tilde>: REDUCTION TO A LOCAL STATEMENT

被引：0

作者：

Lapid, Erez ^{[1
]}

Mao, Zhengyu ^{[2
]}

机构：

[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

[2] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2017年 / 139卷 / 01期

基金：

美国国家科学基金会;

关键词：

HILBERT MODULAR-FORMS; AUTOMORPHIC-FORMS; INDUCED REPRESENTATIONS; DISTRIBUTION VECTORS; EULER PRODUCTS; GL(2N); CLASSIFICATION; REDUCIBILITY; SO(2N+1); DESCENT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a previous paper we formulated an analogue of the Ichino-Ikeda conjectures for Whittaker-Fourier coefficients of cusp forms on quasi-split groups, as well as the metaplectic group of arbitrary rank. In this paper we reduce the conjecture for the metaplectic group to a local conjectural identity. We motivate this conjecture by giving a heuristic argument for the case (SL2) over tilde. In a subsequent paper we will prove the local identity in the p-adic case.

引用

页码：1 / 55

页数：55

共 21 条

[1] A conjecture on Whittaker-Fourier coefficients of cusp forms
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