Browsing Institutt for matematiske fag by Author "Jermstad, Ola Bøkseth"
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The Prime Number Theorem and Riemann's Zeta Function
Jermstad, Ola Bøkseth (Master thesis, 2014)We give a proof of the Prime Number Theorem using the Riemann zeta function. After establishing the analytical tools required, we approach the main result. We derive an asymptotic formula with error terms for the growth ...