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Thesis_Yongxiao LIN.pdf (515 KB)
ETD Abstract Container
Abstract Header
Subconvex bounds for twists of GL(3) L-functions
Author Info
Lin, Yongxiao
ORCID® Identifier
http://orcid.org/0000-0003-4597-6763
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu152416635614617
Abstract Details
Year and Degree
2018, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
Let π be a fixed Hecke--Maass cusp form for SL(3,Z). Let χ be a primitive Dirichlet character modulo M which we assume to be a prime. Let L(s,π⊗ χ) be the L-function associated to π⊗ χ. In this dissertation, for any given ε>0, we establish a subconvex bound L(1/2+it, π⊗ χ) \ll (M(|t|+1))^{3/4-1/36+ε}, simultaneously in both the M- and t-aspects. In our proof, we introduce some variants to existing methods.
Committee
Roman Holowinsky (Advisor)
James Cogdell (Committee Member)
Wenzhi Luo (Committee Member)
Pages
108 p.
Subject Headings
Mathematics
Keywords
L-functions
;
subconvexity
;
Hecke--Maass cusp forms
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RIS
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Citations
Lin, Y. (2018).
Subconvex bounds for twists of GL(3) L-functions
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu152416635614617
APA Style (7th edition)
Lin, Yongxiao.
Subconvex bounds for twists of GL(3) L-functions.
2018. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu152416635614617.
MLA Style (8th edition)
Lin, Yongxiao. "Subconvex bounds for twists of GL(3) L-functions." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu152416635614617
Chicago Manual of Style (17th edition)
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Document number:
osu152416635614617
Download Count:
650
Copyright Info
© 2018, some rights reserved.
Subconvex bounds for twists of GL(3) L-functions by Yongxiao Lin 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.