Littlewood conjecture (1560 bytes)
1: ...n [[Diophantine approximation]], posed by [[J. E. Littlewood]] around 1930. It states that for any two [[real ...
7: ...ay, in group-theoretic terms. This is now another conjecture, expected to hold for ''n'' ≥ 3: it is stated ...
9: '''''Conjecture''''': for any ''g'' in ''G''/Γ such that ''...
11: This in turn is a special case of a general conjecture of [[Grigory Margulis|Margulis]] on [[Lie group]]...
13: ...s (α,β) violating the statement of the conjecture must be small. Einsiedler, Katok and Lindenstraus...

Second Hardy-Littlewood conjecture (767 bytes)
1: [[Category:Analytic number theory]][[Category:Conjectures]]
2: ...mber of primes up to and including ''x'' then the conjecture states that
8: ...he [[Twin_prime_conjecture|first Hardy-Littlewood conjecture]], but the first violation is likely to occur for...
10: [[fr:Seconde conjecture de Hardy-Littlewood]]

John Littlewood (155 bytes)
3: *[[John Edensor Littlewood]] (1885 - 1977), British mathematician
4: *[[John Littlewood (chess player)]] (born 1931), British chess playe...

Joan Littlewood (1068 bytes)
1: '''Joan Maud Littlewood''' ([[October 6]], [[1914]] - [[September 20]], [...
3: ...[[France]] and the [[Soviet Union|USSR]]. One of Littlewood's most famous productions was the British premièr...
5: [[Category:1914 births|Littlewood, Joan]]
6: [[Category:2002 deaths|Littlewood, Joan]]

Barclay Littlewood (1726 bytes)
3: UK Millionaire and young [[Entrepreneur]] Barclay Littlewood (1978-) is widely known as the founder of a well ...
9: Hailed by some as the "Prince of [[Plagiarism]]", Littlewood, who trained as a [[Barrister]], at [[Gray's Inn]...
11: Littlewood refutes such allegations, claiming that all work ...
20: ...factual/learningcurve_20031118.shtml Listen to Mr Littlewood - Radio 4 Interview]

John Edensor Littlewood (1560 bytes)
1: '''John Edensor Littlewood''' ([[June 9]] [[1885]] - [[September 6]] [[1977]...
3: Littlewood was born in [[Rochester, Kent|Rochester]] in [[Ke...
5: ...e conjecture]], and the [[second Hardy-Littlewood conjecture]].
7: ...hat opened up fields still intensively studied. ''Littlewood's inequality'' on bilinear forms was a forerunner...
9: He coined [[Littlewood's law]], which states that individuals can expect...

Littlewood's law (1915 bytes)
1: '''Littlewood's Law''' states that individuals can expect a [[m...
3: ...med by [[Cambridge University]] Professor [[J. E. Littlewood]], and published in a collection of his work, ''A...
5: Littlewood's law is explained as follows. A miracle is defin...
11: *''Littlewood's Miscellany'', edited by B. Bollobas, [[Cambridg...
24: *[http://www.nybooks.com/articles/16991 Littlewood's Law] described in an review of ''Debunked! ESP,...

John Littlewood (chess player) (452 bytes)
1: ...otvinnik]] at the Hastings Chess Congress 1961/2. Littlewood launched a fearsome attack which Botvinnik was ab...
3: [[Category:1931 births|Littlewood, John]]

Conjecture (4836 bytes)
2: ...[fr:Conjecture]][[zh:猜想]][[Category:Conjectures]]
3: In [[mathematics]], a '''conjecture''' is a mathematical statement which has been pro...
5: ...ns must be extremely careful about their use of a conjecture within logical structures.
9: ==Famous conjectures==
11: ...elf a longstanding open problem, was proven; this conjecture has since been completely proven.

Mertens conjecture (1557 bytes)
3: [[Category:Number theory]][[Category:Conjectures]]
9: ...function]], then the '''[[Franz Mertens|Mertens]] conjecture''' is that
15: ...[[1985]], te Riele and Odlyzko proved the Mertens conjecture false.
22: ...') is the [[Riemann zeta function]]. The Mertens conjecture would mean that this integral converges for Re(''...
25: ...hworld.wolfram.com/MertensConjecture.html Mertens conjecture] at MathWorld

Kepler conjecture (8280 bytes)
1: ...mathematics]], the '''Kepler conjecture''' is a [[conjecture]] about [[sphere packing]] in three dimensional [...
3: ...of the correctness of Hales' proof. So the Kepler conjecture is now very close to becoming a [[theorem]].
12: The Kepler conjecture says that this is the best that can be done - no ...
15: ...s named after [[Johannes Kepler]], who stated the conjecture in [[1661]] in ''Strena sue de nive sexangula''. ...
18: ...olution in [[1831]]. Gauss proved that the Kepler conjecture is true if the spheres have to be arranged in a r...

Reconstruction conjecture (1629 bytes)
2: [[Category:Conjectures]]
6: ...r graphs with at least three vertices it has been conjectured in 1942 by P. J. Kelly and [[S. M. Ulam]] that i...
8: More formally, the '''reconstruction conjecture''' states:
13: ...beled [[tree (graph theory)|tree]]s. However, the conjecture remains open for arbitrary graphs.

Scholz conjecture (1031 bytes)
1: [[Category:Conjectures]]
3: ...''' or the '''Brauer-Scholz conjecture''') is a [[conjecture]] from [[1937]] stating that

Erdös conjecture (1205 bytes)
1: {{wrongtitle|title=Erdős conjecture}}
3: ...rious collaborators made many famous mathematical conjectures, over a wide field of subjects.
6: ...s-Faber-Lovász conjecture|Erdős-Faber-Lovász conjecture]]
7: * [[Erdös-Graham conjecture|Erdős-Graham conjecture]]
8: * [[Erdös-Gyárfás conjecture|Erdős-Gyárfás conjecture]] (graph theory)

New Mersenne conjecture (748 bytes)
1: ...jecture''' (or '''Bateman, Selfridge and Wagstaff conjecture''') is a statement concerning certain [[prime num...
9: ... and Wagstaff, Jr., Samuel S., ''The new Mersenne conjecture'', Amer. Math. Monthly, 96 (1989) 125-128

Artin conjecture (3854 bytes)
1: ...n [[mathematics]], there are two notable '''Artin conjectures''', the legacy of [[Emil Artin]].
3: ...or space]] of finite dimension. Then the '''Artin conjecture''' states that the Artin L-function
13: ...ons, just as the [[Riemann hypothesis]] family of conjectures is. It is believed that it would follow from str...
15: The second '''Artin conjecture''' relates to the density of the set of primes ''...
21: [[Hooley]] proved that the second conjecture is a consequence of the first (a [[conditional pr...

Mumford conjecture (1213 bytes)
1: In [[mathematics]], the '''Mumford conjecture''' states that for any [[semisimple]] [[algebraic...
5: ... the extension to prime characteristic ''p''. The conjecture was proved in 1975 by W. J. Haboush, about a deca...
9: ''There are other '''Mumford conjectures''', for example on the [[mapping class group]].'...

Gradient conjecture (804 bytes)
3: The '''gradient conjecture''', due to [[René Thom]], was proved in 2000 by K...

Dinitz conjecture (584 bytes)
1: In [[combinatorics]], the '''Dinitz conjecture''' was a problem on the extension of arrays to ''...
3: ...n ''n''-element set of the symbols. The '''Dinitz conjecture''', now a theorem, is that it is then possible to...

Deligne conjecture (1331 bytes)
1: ...ed by [[Pierre Deligne]]. These are independent [[conjecture]]s in various fields of mathematics.
3: The '''Deligne conjecture in [[deformation theory]]''' is about the [[categ...
5: The '''Deligne conjecture on special values of [[L-function]]s''' is a form...
7: There is a '''Deligne conjecture on 1-motives''' arising in the theory of [[motive...
9: There is a '''Gross-Deligne conjecture''' in the theory of [[complex multiplication]].

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