Title Information
Title
Triple Shifted Sums of Automorphic L-functions
Name: Personal
Name Part
Hulse, Thomas Andrew
Role
Role Term: Text
creator
Origin Information
Copyright Date
2013
Physical Description
Extent
6, 86 p.
digitalOrigin
born digital
Note
Thesis (Ph.D. -- Brown University (2013)
Name: Personal
Name Part
Hoffstein, Jeffrey
Role
Role Term: Text
Director
Name: Personal
Name Part
Lee, Min
Role
Role Term: Text
Reader
Name: Personal
Name Part
Diaconu, Adrian
Role
Role Term: Text
Reader
Name: Corporate
Name Part
Brown University. Mathematics
Role
Role Term: Text
sponsor
Type of Resource
text
Genre (aat)
theses
Abstract
In this work we provide a meromorphic continuation in three complex variables of two types of triple shifted convolution sums of Fourier coefficients of holomorphic cusp forms. The foundations of this construction are based in the continuation of the spectral expansion of a special truncated Poincaré series recently developed by Jeffrey Hoffstein. As a result we are able to produce previously unstudied and nontrivial asymptotics of truncated shifted sums which we expect to correspond to off-diagonal terms in the third moment of automorphic L-functions.
Subject
Topic
spectral expansion
Subject
Topic
Maass forms
Subject (FAST) (authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/824129")
Topic
Automorphic forms
Subject (FAST) (authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/989693")
Topic
L-functions
Subject (FAST) (authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/1041214")
Topic
Number theory
Record Information
Record Content Source (marcorg)
RPB
Record Creation Date (encoding="iso8601")
20131219
Language
Language Term: Code (ISO639-2B)
eng
Language Term: Text
English