Open AccessOn Robin’s criterion for the Riemann hypothesis
Author(s) -
YoungJu Choie,
Nicolas Lichiardopol,
Pieter Moree,
Patrick Solé
Publication year - 2007
Publication title -
journal de théorie des nombres de bordeaux
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.663
H-Index - 26
eISSN - 2118-8572
pISSN - 1246-7405
DOI - 10.5802/jtnb.591
Subject(s) - mathematics , combinatorics , riemann hypothesis , humanities , calculus (dental) , pure mathematics , philosophy , medicine , dentistry
Robin's criterion states that the Riemann Hypothesis (RH) is true if and only if Robin's inequality (n) := P d|n d 1. As consequence we obtain that RH holds true i every natural number divisible by a fifth power > 1 satisfies Robin's inequality.
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