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osu1338258794.pdf (359.19 KB)
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Abstract Header
Archimedean Derivatives and Rankin-Selberg integrals
Author Info
Chai, Jingsong
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1338258794
Abstract Details
Year and Degree
2012, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
In this dissertation, we first define two notions: derivatives of smooth admissible representations of moderate growth on general linear groups over real numbers and exceptional poles. Then we study their basic properties and relate them to the archimedean Rankin-Selberg integrals. This is part of an ongoing project to develop the archimedean theory analogous to p-adic case developed by Cogdell and I.I. Piatetski-Shapiro.
Committee
James Cogdell (Advisor)
Wenzhi Luo (Committee Member)
Robert Stanton (Committee Member)
Pages
75 p.
Subject Headings
Mathematics
Keywords
L-function
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Citations
Chai, J. (2012).
Archimedean Derivatives and Rankin-Selberg integrals
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338258794
APA Style (7th edition)
Chai, Jingsong.
Archimedean Derivatives and Rankin-Selberg integrals.
2012. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1338258794.
MLA Style (8th edition)
Chai, Jingsong. "Archimedean Derivatives and Rankin-Selberg integrals." Doctoral dissertation, Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338258794
Chicago Manual of Style (17th edition)
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Document number:
osu1338258794
Download Count:
717
Copyright Info
© 2012, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.