On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms

Published:2020-05-28 Issue:8 Volume:373 Page:5395-5438
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Yamana Shunsuke

Abstract

We construct a lifting that associates to a Hilbert cusp form a Hilbert-Hermitian cusp form. This is a generalization of the lifting of elliptic cusp forms constructed by Ikeda to arbitrary Hilbert cusp forms.

Funder

Japan Society for the Promotion of Science

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2020-373-08/S0002-9947-2020-08096-9/tran8096_AM.pdf

Reference37 articles.

1. Endoscopic groups and packets of nontempered representations;Adams, Jeffrey;Compositio Math.,1987

2. Unipotent automorphic representations: conjectures;Arthur, James;Ast\'{e}risque,1989

3. American Mathematical Society Colloquium Publications;Arthur, James,2013

4. Annals of Mathematics Studies;Arthur, James,1989

5. On the Miyawaki lifts of hermitian modular forms;Atobe, Hiraku;J. Number Theory,2018

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Explicit Lifting Construction of CAP Forms on O(1,5);International Journal of Number Theory;2023-02-10

2. On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms;Annales scientifiques de l'École normale supérieure;2020

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP