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The Dirichlet Series To The Riemann Hypothesis
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.
2018 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This paper examines the Riemann zeta-function and its relation to the prime distribution. In this work, I present the journey from the Dirichlet series to the Riemann hypothesis. Furthermore, I discuss the prime counting function, the Riemann prime counting function and the Riemann explicit function for distribution of primes. This paper explains that the non-trivial zeros of the zeta-function are the key to understand the prime distribution.

Place, publisher, year, edition, pages
2018. , p. 37
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:hig:diva-27028OAI: oai:DiVA.org:hig-27028DiVA, id: diva2:1218711
Subject / course
Mathematics
Educational program
no programme (freestanding course)
Supervisors
Examiners
Available from: 2018-06-20 Created: 2018-06-14 Last updated: 2018-06-20Bibliographically approved

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fulltext(978 kB)8 downloads
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3708f89bdd73894624544229d31a80080e0cbeb97b2a5ae530aa10b912d8ad712bc1053a9c5aee93a8fa449eb64837c85bb44b677242df051ff3d95493ef9eae
Type fulltextMimetype application/pdf

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Department of Electronics, Mathematics and Natural Sciences
Mathematical Analysis

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CiteExportLink to record
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