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A Study of Bernhard Riemann's 1859 Paper

On the Number of Primes Less Than a Given Magnitude

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The primary purpose of this book is to deeply study Bernhard Riemann's seminal 1859 paper: "On the Number of Primes Less Than a Given Magnitude". Our goal in this book is to provide rigorous proofs for all of the proofs and (provable) assertions in Riemann's Paper. Of course, that necessarily excludes the Riemann Hypothesis. While Riemann's Paper is our focus, our study would be incomplete without also noting some of the advances made as a result of his paper. Most notably, we provide two proofs of the Prime Number Theorem.

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A Study of Bernhard Riemann's 1859 Paper, Terrence P. Murphy

Język
Rok wydania
2020
Oprawa
(miękka)
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Tytuł
A Study of Bernhard Riemann's 1859 Paper
Podtytuł
On the Number of Primes Less Than a Given Magnitude
Język
angielski
Rok wydania
2020
Oprawa
miękka
Liczba stron
182
ISBN10
0996167137
ISBN13
9780996167130
Seria
Opis
The primary purpose of this book is to deeply study Bernhard Riemann's seminal 1859 paper: "On the Number of Primes Less Than a Given Magnitude". Our goal in this book is to provide rigorous proofs for all of the proofs and (provable) assertions in Riemann's Paper. Of course, that necessarily excludes the Riemann Hypothesis. While Riemann's Paper is our focus, our study would be incomplete without also noting some of the advances made as a result of his paper. Most notably, we provide two proofs of the Prime Number Theorem.