Circle method and the subconvexity problem

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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.

Type of resource	text
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

Author	Raju, Chandra Sekhar
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.

Genre	Theses
Genre	Text

Statement of responsibility	Chandrasekhar Raju.
Note	Submitted to the Department of Mathematics.
Thesis	Thesis Ph.D. Stanford University 2019.
Location	electronic resource

License: This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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