Please use this identifier to cite or link to this item:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22150
Title: | 近全純 齋藤-黑川 模型式之限制公式 Pullback formulas for nearly holomorphic Saito-Kurokawa lifts |
Authors: | Shih-Yu Chen 陳昰宇 |
Advisor: | 謝銘倫 |
Keyword: | 自守形式,自守表現,齋藤-黑川模型式, automorphic forms,automorphic representations,Saito-Kurokawa lifts, |
Publication Year : | 2018 |
Degree: | 博士 |
Abstract: | 論文的主結果是給出了近全純 齋藤-黑川 模型式之限制公式。我們推廣了市 野 篤史的公式,涵蓋了具有更高模群之模型式,並且解決了對於模式型的權的 限制。限制公式給出了 Gross-Prasad 猜想在 (SO(5),SO(4)) 以及非緩增加表現的 情形下的例子。作為應用,我們證明了某些 GL(3) × GL(2) 上的自守L-函數的 Deligne 猜想。 We give explicit pullback formulas for nearly holomorphic Saito-Kurokawa lifts restrict to product of upper half-plane against with product of elliptic modular forms. We generalize the formula of Ichino to modular forms of higher level and free the restriction on weights. The explicit formulas provide non-trivial examples for the refined Gross-Prasad conjecture for (SO(5), SO(4)) in the non-tempered cases. As an application, we obtain new cases for Deligne’s conjecture for central critical values of certain automorphic L-functions for GL(3) × GL(2). |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22150 |
DOI: | 10.6342/NTU201802116 |
Fulltext Rights: | 未授權 |
Appears in Collections: | 數學系 |
Files in This Item:
File | Size | Format | |
---|---|---|---|
ntu-107-1.pdf Restricted Access | 5.38 MB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.