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 )
 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

सन्दर्भ

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

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