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Qing Zhang's thesis.pdf (620.91 KB)
ETD Abstract Container
Abstract Header
On certain results on the local gamma factors for the symplectic and unitary groups
Author Info
Zhang, Qing
ORCID® Identifier
http://orcid.org/0000-0002-1987-1477
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1467824518
Abstract Details
Year and Degree
2016, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
In this thesis, we prove several results on the local gamma factors for symplectic groups and unitary groups. First, we prove the dependence relation of the local gamma factors on the additive character ¿. Second, we prove a stability property of the partial Bessel functions associated with Howe vectors, which will be used to reprove the stability property of the local gamma factors. We also prove a local converse theorem for U(2, 2).
Committee
James Cogdell (Advisor)
Ghaith Hiary (Committee Member)
Wenzhi Luo (Committee Member)
Pages
148 p.
Subject Headings
Mathematics
Keywords
local gamma factors, Howe vectors, local converse theorem
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Refworks
EndNote
RIS
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Citations
Zhang, Q. (2016).
On certain results on the local gamma factors for the symplectic and unitary groups
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1467824518
APA Style (7th edition)
Zhang, Qing.
On certain results on the local gamma factors for the symplectic and unitary groups.
2016. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1467824518.
MLA Style (8th edition)
Zhang, Qing. "On certain results on the local gamma factors for the symplectic and unitary groups." Doctoral dissertation, Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1467824518
Chicago Manual of Style (17th edition)
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Document number:
osu1467824518
Download Count:
579
Copyright Info
© 2016, some rights reserved.
On certain results on the local gamma factors for the symplectic and unitary groups by Qing Zhang is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by The Ohio State University and OhioLINK.