{"id":{"repo_id":"unt","oai_identifier":"info:ark/67531/metadc4476"},"canonical_url":"https://search.dev.ndltd.org/etd/unt/info:ark/67531/metadc4476","repository":{"repo_id":"unt","name":"University of North Texas","base_url":"https://digital.library.unt.edu/oai/"},"display":{"title":"A Detailed Proof of the Prime Number Theorem for Arithmetic Progressions","abstract":"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.","abstract_html":"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. 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