A Detailed Proof of the Prime Number Theorem for Arithmetic Progressions

We follow a research paper that J. Elstrodt published in 1998 to prove the Prime Number Theorem for arithmetic progressions. We will review basic results from Dirichlet characters and L-functions. Furthermore, we establish a weak version of the Wiener-Ikehara Tauberian Theorem, which is an essential tool for the proof of our main result.

Grantor dc:publisher

University of North Texas

Year dc:date

2004

Author dc:creator

• Vlasic, Andrew

Contributors dc:contributor

• Richter, Olav
• Cherry, William, 1966-
• Iaia, Joseph

• Elstrodt, J. (Jürgen), 1940- Quick proof of the prime number theorem for arithmetic progressions.
• Numbers, Prime.
• Prime Number Theorem
• arithmetic progressions
• L-functions
• proof

Statement dc:rights

• Public
• Copyright
• Vlasic, Andrew
• Copyright is held by the author, unless otherwise noted. All rights reserved.

Language dc:language

English

Identifier

oclc: 55804325
https://digital.library.unt.edu/ark:/67531/metadc4476/
ark: ark:/67531/metadc4476

OAI identifier oai:identifier

info:ark/67531/metadc4476