अनुमानों की सूची

यहाँ पर गणित से सम्बन्धित अनुमानों (conjectures) की सूची दी गयी है जो अपूर्ण है। इन अनुमानों को सन् २००७ में उनकी स्थिति के अनुसार चार वर्गों में बांटा गया है।

सिद्ध अनुमान (अब ये प्रमेय हैं)

The theorems may not be their official names.

• Adams conjecture (J-homomorphism)
• Andrews-Curtis conjecture
• Bieberbach conjecture, 1916 (De Branges' theorem, 1984)
• Blattner's conjecture (Blattner formula)
• Burnside conjecture (Feit–Thompson theorem)
• Cameron–Erdős conjecture
• Catalan's conjecture, 1844 (Mihăilescu's theorem, 2002)
• Conway–Norton conjecture (monstrous moonshine)
• Dinitz conjecture (Galvin's theorem)
• Deligne's conjecture on 1-motives
• Denjoy's conjecture
• Dodecahedral conjecture (Hales–McLaughlin theorem)
• Epsilon conjecture (Ribet's theorem)
• Fermat's Last Theorem (Andrew Wiles' proof in 1994)
• Frobenius conjecture (Iiyori and Yamaki)
• 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–Petersson conjecture (consequence of the proof of the Weil conjectures)
• Road coloring conjecture, 1970 (2008)
• Segal's Burnside ring conjecture (Carlsson theorem)
• Serre's conjecture (Quillen–Suslin theorem)
• Seymour's conjecture
• Smith conjecture (Gordon's theorem)
• Stanley–Wilf conjecture (Marcus–Tardos 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 (Modularity theorem)
• Wagner's conjecture (Robertson–Seymour theorem)
• Weil conjectures (Deligne's theorems)

गलत सिद्ध कर दिये गये (Disproved) अनुमान

अब ये अनुमान नहीं हैं।

• Borsuk's conjecture
• Euler's sum of powers conjecture
• Ganea conjecture
• Generalized Smith conjecture
• Hauptvermutung
• Intersection graph conjecture
• Kouchnirenko's conjecture
• Mertens conjecture
• Pólya conjecture, 1919 (1958)
• Ragsdale conjecture
• Tait's conjecture
• Von Neumann conjecture
• Weyl-Berry conjecture

हाल ही में हुए कार्य

• Bloch-Kato conjecture
• Erdős–Straus conjecture
• Herzog-Schönheim conjecture
• Hilbert-Smith conjecture
• Kepler conjecture
• Nagata conjecture on automorphisms
• Poincaré conjecture
• quantum unique ergodicity conjecture, (2004, Elon Lindenstrauss, for arithmetic hyperbolic surfaces, 2008, Kannan Soundararajan & Roman Holowinsky, for holomorphic forms of increasing weight for Hecke eigenforms on noncompact arithmetic surfaces [1])
• Sato-Tate conjecture
• Thurston's conjecture

खुली समस्याएँ (Open problems)

• The 1/3 - 2/3 conjecture
• abc conjecture
• Andrews–Curtis conjecture
• Agoh–Giuga conjecture
• Andrica's 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
• Birkhoff conjecture
• Bloch-Beilinson conjectures
• Borel conjecture
• Bost conjecture
• Bunyakovsky conjecture
• Catalan-Dickson conjecture on aliquot sequences
• Carathéodory conjecture
• Catalan's Mersenne conjecture
• Cherlin-Zilber conjecture
• Collatz conjecture
• Cramér's conjecture
• Deligne conjecture disambiguation
• Eilenberg−Ganea conjecture
• Elliott–Halberstam conjecture
• Erdős–Burr conjecture
• Erdős–Gyárfás conjecture
• Farrell–Jones conjecture
• Filling area conjecture
• Frankl conjecture
• Gilbreath conjecture
• Goldbach's conjecture
• Goldbach's weak conjecture
• Gold partition conjecture
• Goormaghtigh conjecture
• Green's conjecture
• Grimm's conjecture
• Grothendieck–Katz p-curvature conjecture
• Hadamard conjecture
• Hedetniemi's conjecture
• Hirsch conjecture
• Hopf conjecture
• Hodge conjecture
• Homological conjectures in commutative algebra
• Jacobian conjecture
• Kaplansky 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
• Ringel-Kotzig conjecture
• Schanuel's conjecture
• Scheinerman's conjecture
• Schinzel's hypothesis H
• Scholz conjecture
• Second Hardy–Littlewood conjecture
• Selfridge's conjecture
• Serre conjecture (number theory)
• Serre's multiplicity conjectures
• Singmaster's conjecture
• Tate conjecture
• Twin prime conjecture
• Vandiver's conjecture
• Waring's conjecture
• Weight-monodromy conjecture
• Weinstein conjecture
• Whitehead conjecture
• Zhou conjecture

इन्हें भी देखें

• Erdős conjecture, which lists conjectures of Paul Erdős and his collaborators
• Unsolved problems in mathematics
• List of unsolved problems
• सहस्राब्दी पुरस्कार समस्याएं (Millennium Prize Problems)
• प्रमेयों की सूची,
• उपसाध्यों की सूची (list of lemmas)

बाहरी कड़ियाँ

• Open Problem Garden