Circle method and the subconvexity problem
Abstract/Contents
- Abstract
- Munshi demonstrated the usefulness of the circle method in understanding the subconvexity problem, by exhibiting a subconvexity bound for GL3 automorphic forms twisted by a Dirichlet character. We take this idea further by exhibiting a subconvexity bound for GL2 X GL2 Rankin-Selberg L-functions using the circle method. We exhibit a subconvexity bound for the Rankin-Selberg L- functions in the level aspect when both the automorphic forms are varying independently (i.e the arithmetic conductors don't have a large common factor). We beat the best-known exponent for this problem using the circle method. We also use a different version of the circle method to exhibit a subconvexity bound in t-aspect.
Description
Type of resource | text |
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Form | electronic resource; remote; computer; online resource |
Extent | 1 online resource. |
Place | California |
Place | [Stanford, California] |
Publisher | [Stanford University] |
Copyright date | 2019; ©2019 |
Publication date | 2019; 2019 |
Issuance | monographic |
Language | English |
Creators/Contributors
Author | Raju, Chandra Sekhar | |
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Degree supervisor | Soundararajan, Kannan, 1973- | |
Thesis advisor | Soundararajan, Kannan, 1973- | |
Thesis advisor | Bump, Daniel, 1952- | |
Thesis advisor | Fox, Jacob, 1984- | |
Degree committee member | Bump, Daniel, 1952- | |
Degree committee member | Fox, Jacob, 1984- | |
Associated with | Stanford University, Department of Mathematics. |
Subjects
Genre | Theses |
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Genre | Text |
Bibliographic information
Statement of responsibility | Chandrasekhar Raju. |
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Note | Submitted to the Department of Mathematics. |
Thesis | Thesis Ph.D. Stanford University 2019. |
Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Chandra Sekhar Raju
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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