A Survey on Newmann’s proof of the prime number theorem

A Survey on Newmann’s proof of the prime number theorem

The prime number theorem is one of the most important theorems in number theory, which tells the asymptotic behavior of positive prime numbers. It was first proved independently by Jacques Hadamard and Charles-Jean de la Valĺee Poussin in 1896, by using the Riemann zeta function as a tool. We summar...

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Veröffentlicht in:Journal of physics. Conference series 2021-05, Vol.1903 (1), p.12012
1. Verfasser: Ma, Zhentao
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Number theory
Physics
Prime numbers
Theorems
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Beschreibung
Zusammenfassung:The prime number theorem is one of the most important theorems in number theory, which tells the asymptotic behavior of positive prime numbers. It was first proved independently by Jacques Hadamard and Charles-Jean de la Valĺee Poussin in 1896, by using the Riemann zeta function as a tool. We summarize Newmann’s proof in this survey.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1903/1/012012