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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc4476 |
| Date | 05 1900 |
| Creators | Vlasic, Andrew |
| Contributors | Richter, Olav, Cherry, William, 1966-, Iaia, Joseph |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Copyright, Vlasic, Andrew, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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