Mertens conjecture
In mathematics, the Mertens conjecture is the statement that the Mertens function is bounded by . Although now disproven, it has been shown to imply the Riemann hypothesis. It was conjectured by Thomas Joannes Stieltjes, in an 1885 letter to Charles Hermite (reprinted in Stieltjes ), and again in print by Franz Mertens , and disproved by Andrew Odlyzko and Herman te Riele .It is a striking example of a mathematical conjecture proven false despite a large amount of computational evidence in its favor.
known for
Wikipage disambiguates
Wikipage redirect
Andrew OdlyzkoExtremal orders of an arithmetic functionFranz MertensGonek's conjectureHerman te RieleJános PintzLenstra–Lenstra–Lovász lattice basis reduction algorithmList of conjecturesList of number theory topicsList of the Delft University of Technology AlumniMerten's conjectureMertensMertens functionMöbius functionRiemann hypothesisTheorem
Link from a Wikipage to another Wikipage
known for
primaryTopic
Mertens conjecture
In mathematics, the Mertens conjecture is the statement that the Mertens function is bounded by . Although now disproven, it has been shown to imply the Riemann hypothesis. It was conjectured by Thomas Joannes Stieltjes, in an 1885 letter to Charles Hermite (reprinted in Stieltjes ), and again in print by Franz Mertens , and disproved by Andrew Odlyzko and Herman te Riele .It is a striking example of a mathematical conjecture proven false despite a large amount of computational evidence in its favor.
has abstract
En matemáticas, la conjetura d ...... ad de la hipótesis de Riemann.
@es
En théorie des nombres, si nou ...... nt qu'il est probable que non.
@fr
In de wiskunde is het vermoede ...... iemann-hypothese zijn bewezen.
@nl
In mathematics, the Mertens co ...... ational evidence in its favor.
@en
Mertens förmodan kallas en spe ...... tt Riemannhypotesen vore sann.
@sv
حدسية ميرتنز في نظرية الأعداد ...... لعالم الرياضيات فرانز ميرتنز.
@ar
梅滕斯猜想是数论中的一个猜想，由汤姆斯·斯蒂尔吉斯在一封于1 ...... ko）与（Herman te Riele）于1985年证否。
@zh
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,024,424,006
Link from a Wikipage to another Wikipage
authorlink
Andrew Odlyzko
@en
Franz Mertens
@en
Herman te Riele
@en
first
Andrew
@en
Franz
@en
Herman
@en
last
Mertens
@en
Odlyzko
@en
te Riele
@en
title
Mertens conjecture
@en
urlname
MertensConjecture
@en
wikiPageUsesTemplate
hypernym
type
comment
En matemáticas, la conjetura d ...... ad de la hipótesis de Riemann.
@es
En théorie des nombres, si nou ...... de Riemann est équivalente à :
@fr
In de wiskunde is het vermoede ...... iemann-hypothese zijn bewezen.
@nl
In mathematics, the Mertens co ...... ational evidence in its favor.
@en
Mertens förmodan kallas en spe ...... tt Riemannhypotesen vore sann.
@sv
حدسية ميرتنز في نظرية الأعداد ...... لعالم الرياضيات فرانز ميرتنز.
@ar
梅滕斯猜想是数论中的一个猜想，由汤姆斯·斯蒂尔吉斯在一封于1 ...... ko）与（Herman te Riele）于1985年证否。
@zh
label
Conjecture de Mertens
@fr
Conjetura de Mertens
@es
Mertens conjecture
@en
Mertens förmodan
@sv
Mertenssche Vermutung
@de
Vermoeden van Mertens
@nl
حدسية ميرتنز
@ar
梅滕斯猜想
@zh