مستخدم:Chaos/قائمة الحدسيات

من ويكيبيديا، الموسوعة الحرة

This is a list of mathematical conjectures, by Wikipedia page. They are divided into four sections, according to their status in 2006.

See also:

  • Erdős conjecture, which lists conjectures of Paul Erdős and his collaborators
  • Unsolved problems in mathematics
  • List of unsolved problems
  • Millennium Prize Problems

and, for proved results,

  • List of theorems, list of lemmas;

also

  • List of statements undecidable in ZFC

for problems not subject to conventional proof nor disproof.

فهرست

[تحرير] Proved (now theorems)

The theorems may not be their official names.

  • Adams conjecture (J-homomorphism)
  • Bieberbach conjecture (De Branges' theorem)
  • Blattner's conjecture (Blattner formula)
  • Catalan's conjecture (Mihăilescu's theorem)
  • Conway-Norton conjecture (Monstrous moonshine)
  • Dinitz conjecture (Galvin's theorem)
  • Dodecahedral conjecture (Hales-McLaughlin theorem)
  • Epsilon conjecture (Ribet's theorem)
  • Fermat's Last Theorem
  • Gradient conjecture (Kurdyka-Mostowski-Parusinski theorem)
  • Heawood conjecture (Ringel-Youngs' theorem)
  • Kummer's conjecture on cubic Gauss sums (Kummer sum)
  • Mahler-Manin conjecture
  • Manin-Mumford conjecture (Raynaud's theorem)
  • Milnor conjecture (Voevodsky's theorem)
  • Mordell conjecture (Faltings' theorem)
  • Mumford conjecture (Haboush's theorem)
  • Oppenheim conjecture (Margulis' theorem)
  • Ramanujan conjecture on the cusp form Δ (proved by the proof of the Weil conjectures)
  • Segal's Burnside ring conjecture (Carlsson theorem)
  • Serre's conjecture (Quillen-Suslin theorem)
  • Seymour's conjecture
  • Smith conjecture (Gordon's theorem)
  • Stanley-Wilf conjecture (Tardos-Marcus theorem)
  • Star height problem (Hashiguchi theorem)
  • Strong perfect graph conjecture (Chudnovsky-Robertson-Seymour-Thomas theorem)
  • Sullivan conjecture
  • Tameness conjecture (Agol or Calegari-Gabai theorem)
  • Taniyama-Shimura conjecture (Taniyama–Shimura theorem)
  • Wagner's conjecture (Robertson-Seymour theorem)
  • Weil conjectures (Deligne's theorems)

[تحرير] Disproved

  • Borsuk's conjecture
  • Euler's conjecture
  • Ganea conjecture
  • Generalized Smith conjecture
  • Hauptvermutung
  • Intersection graph conjecture
  • Kouchnirenko's conjecture
  • Mertens conjecture
  • Pólya conjecture
  • Ragsdale conjecture
  • Tait's conjecture
  • Von Neumann conjecture
  • Weyl-Berry conjecture

[تحرير] Recent work

  • Bloch-Kato conjecture
  • Erdős–Straus conjecture
  • Herzog-Schönheim conjecture
  • Hilbert-Smith conjecture
  • Kepler conjecture
  • Nagata conjecture on automorphisms
  • Poincaré conjecture
  • Sato-Tate conjecture
  • Thurston's conjecture

[تحرير] Open problems

  • abc conjecture
  • Andrews-Curtis conjecture
  • Agoh-Giuga conjecture
  • Artin conjectures
  • Atiyah conjecture
  • Bateman-Horn conjecture
  • Baum-Connes conjecture
  • Beal's conjecture
  • Beilinson conjecture
  • Berry-Tabor conjecture
  • Birch and Swinnerton-Dyer conjecture
  • Birch-Tate conjecture
  • Bloch-Beilinson conjectures
  • Borel conjecture
  • Bost conjecture
  • Collatz conjecture
  • Cramér's conjecture
  • Deligne conjecture disambiguation
  • Eilenberg-Ganea conjecture
  • Elliott-Halberstam conjecture
  • Erdős-Burr conjecture
  • Erdős-Gyárfás conjecture
  • Farrell-Jones conjecture
  • Frankl conjecture
  • Gilbreath conjecture
  • Goldbach's conjecture
  • Goldbach's weak conjecture
  • Grimm's conjecture
  • Hadamard conjecture
  • Hedetniemi's conjecture
  • Hopf conjecture
  • Hodge conjecture
  • Homological conjectures in commutative algebra
  • Jacobian conjecture
  • Keating-Snaith conjecture
  • Lawson's conjecture
  • Lenstra-Pomerance-Wagstaff conjecture
  • Lichtenbaum conjecture
  • List coloring conjecture
  • Littlewood conjecture
  • Lovász conjecture
  • Marshall Hall's conjecture
  • Mazur's conjectures
  • Monodromy conjecture
  • New Mersenne conjecture
  • Novikov conjecture
  • Petersen coloring conjecture
  • Pierce-Birkhoff conjecture
  • Pillai's conjecture
  • De Polignac's conjecture
  • Quillen-Lichtenbaum conjecture
  • Reconstruction conjecture
  • Riemann Hypotheses: see also Weil conjectures, above
    • Riemann hypothesis
      • Generalized Riemann hypothesis
      • Grand Riemann hypothesis
    • Density hypothesis
    • Lindelöf hypothesis
    • Hilbert-Pólya conjecture on the Riemann hypothesis
  • Schanuel's conjecture
  • Schinzel's hypothesis H
  • Scholz conjecture
  • Second Hardy-Littlewood conjecture
  • Selfridge's conjecture
  • Serre's multiplicity conjectures
  • Singmaster's conjecture
  • Tate conjecture
  • Twin prime conjecture
  • Vandiver's conjecture
  • Weight-monodromy conjecture
  • Whitehead conjecture
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