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research article

Some applications of the Weil-Barner explicit formula

Buethe, J.
•
Franke, Jens
•
Jost, Alexander
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2013
Mathematische Nachrichten

The Weil-Barner explicit formula is applied to the prime counting function and to the problem of numerical partial verification of the Riemann hypothesis.

  • Details
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Type
research article
DOI
10.1002/mana.201100218
Web of Science ID

WOS:000317019700008

Author(s)
Buethe, J.
Franke, Jens
Jost, Alexander
Kleinjung, Thorsten  
Date Issued

2013

Publisher

Wiley-V C H Verlag Gmbh

Published in
Mathematische Nachrichten
Volume

286

Issue

5-6

Start page

536

End page

549

Subjects

Riemann zeta function

•

explicit formula

•

prime counting function

•

Riemann hypothesis

•

MSC 2010

•

Primary: 11M06

•

Secondary: 11N05

•

11Y35

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LACAL  
Available on Infoscience
May 13, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/92151
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