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University of Illinois at Urbana-Champaign

Explicit Estimates for Functions of Primes in Arithmetic Progressions

Abstract

dc:description

This thesis is concerned with essentially three topics: Explicit zero-free regions for Dirichlet L-functions, numerical estimates for the error term in the prime number theorem for arithmetic progressions, and Waring's problem for cubes.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Mccurley, Kevin Snow

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8203527
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/71198

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Mccurley, Kevin Snow. Explicit Estimates for Functions of Primes in Arithmetic Progressions. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/71198