A PRACTICAL ANALYTIC METHOD FOR CALCULATING pi(x)
Franke, Jens; Kleinjung, Thorsten; Buethe, Jan; Jost, Alexander
2017

Abstract

In this paper we give a description of a practical analytic method for the computation of pi(x), the number of prime numbers <= x. The method is similar to the one proposed by Lagarias and Odlyzko but uses the Weil-Barner explicit formula instead of curve integrals.

Details

Title A PRACTICAL ANALYTIC METHOD FOR CALCULATING pi(x)
Author(s) Franke, Jens ; Kleinjung, Thorsten ; Buethe, Jan ; Jost, Alexander
Published in Mathematics Of Computation
Pagination 21
Volume 86
Issue 308
Pages 2889-2909
Date 2017
Publisher Providence, American Mathematical Society
ISSN 0025-5718
DOI https://doi.org/10.1090/mcom/3038
Other identifier(s) View record in Web of Science
Laboratories LACAL
Record Appears in Scientific production and competences > I&C - School of Computer and Communication Sciences > IINFCOM > LACAL - Laboratory for cryptologic algorithms
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2017-09-05

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