A conjecture on Whittaker-Fourier coefficients of cusp forms

Erez Lapid; Zhengyu Mao

doi:https://doi.org/10.1016/j.jnt.2013.10.003

A conjecture on Whittaker-Fourier coefficients of cusp forms

Erez Lapid, Zhengyu Mao

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures of Sakellaridis-Venkatesh in the case at hand.

Original language	English
Pages (from-to)	448-505
Number of pages	58
Journal	Journal of Number Theory
Volume	146
Issue number	C
DOIs	https://doi.org/10.1016/j.jnt.2013.10.003
State	Published - 2015

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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title = "A conjecture on Whittaker-Fourier coefficients of cusp forms",

abstract = "We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures of Sakellaridis-Venkatesh in the case at hand.",

author = "Erez Lapid and Zhengyu Mao",

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year = "2015",

doi = "https://doi.org/10.1016/j.jnt.2013.10.003",

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AU - Lapid, Erez

AU - Mao, Zhengyu

PY - 2015

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N2 - We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures of Sakellaridis-Venkatesh in the case at hand.

AB - We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures of Sakellaridis-Venkatesh in the case at hand.

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U2 - https://doi.org/10.1016/j.jnt.2013.10.003

DO - https://doi.org/10.1016/j.jnt.2013.10.003

M3 - مقالة

SN - 0022-314X

VL - 146

SP - 448

EP - 505

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - C

ER -

A conjecture on Whittaker-Fourier coefficients of cusp forms

Abstract

All Science Journal Classification (ASJC) codes

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