Topics in the theory of automorphic L-functions

Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois Urbana-Champaign

Year dc:date

2025

Author dc:creator

• Basak, Debmalya

Contributors dc:contributor

• Zaharescu, Alexandru
• Thorner, Jesse
• Ford, Kevin
• Berndt, Bruce

• Gaussian Distribution
• Quadratic Residues And Non-residues
• Primes In Short Intervals
• Square-free Numbers
• Poisson Distribution
• Dirichlet $l$-functions
• Landau--siegel Zeros
• Quadratic Characters
• Non-vanishing At Central Point
• Kloosterman Sums
• Short Intervals
• Arithmetic Progressions
• Automorphic $l$-functions
• Non-trivial Zeros, Correlation Surfaces
• Laplace And Chi-squared Distributions.

Statement dc:rights

• Copyright 2025 Debmalya Basak

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/130092

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/130092