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The Distribution of Primes and the Riemann Zeta Function

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Topics from the Theory of Numbers

Part of the book series: Modern Birkhäuser Classics ((MBC))

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Abstract

We recall that the problem of the distribution of primes had been raised at least as far back as the Greek antiquity. The proof of our Theorem 3.9, that there are infinitely many primes, appears in Euclid (Book 9, Section 20), and Eratosthenes† devised a systematic method for obtaining all primes up to any given number x.

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Authors and Affiliations

  1. Department of Mathematics, Temple University, Philadelphia, Pennsylvania, 19122, USA

    Emil Grosswald

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  1. Emil Grosswald
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© 1984 Springer Science+Business Media New York

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Grosswald, E. (1984). The Distribution of Primes and the Riemann Zeta Function. In: Topics from the Theory of Numbers. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4838-1_8

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  • DOI: https://doi.org/10.1007/978-0-8176-4838-1_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-4837-4

  • Online ISBN: 978-0-8176-4838-1

  • eBook Packages: Springer Book Archive

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