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list of conjectures
This is a list of mathematical conjectures.
==Open problems==
* 1/3–2/3 conjecture
* abc conjecture (proof claimed by Shinichi Mochizuki)
* Andrews–Curtis conjecture
* Agoh–Giuga conjecture
* Andrica's conjecture
* Artin conjecture (L-functions)
* Artin's conjecture on primitive roots
* 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
* Bloch–Kato conjecture
* Bombieri-Lang conjecture
* Borel conjecture
* Bost conjecture
* Brocard's conjecture
* Brumer–Stark conjecture
* Bunyakovsky conjecture
* Catalan–Dickson conjecture on aliquot sequences
* Carathéodory conjecture
* Carmichael totient conjecture
* Casas-Alvero conjecture
* Catalan's Mersenne conjecture
* Cherlin–Zilber conjecture
* Collatz conjecture
* Cramér's conjecture
* Conway's thrackle conjecture
* Deligne conjecture disambiguation
* Eilenberg−Ganea conjecture
* Elliott–Halberstam conjecture
* Erdős–Burr conjecture
* Erdős–Faber–Lovász conjecture
* Erdős–Gyárfás conjecture
* Erdős–Straus conjecture
* Farrell–Jones conjecture
* Filling area conjecture
* Fortune's conjecture
* Frankl conjecture
* Gauss circle problem
* Gilbreath conjecture
* Giuga's conjecture
* Goldbach's conjecture
* Goldbach's weak conjecture (proof claimed by Harald Helfgott)
* Gold partition conjecture〔M. Peczarski, The gold partition conjecture, it Order 23(2006): 89–95.〕
* Goormaghtigh conjecture
* Green's conjecture
* Grimm's conjecture
* Grothendieck–Katz p-curvature conjecture
* Guralnick–Thompson conjecture (Riemann surfaces)
* Hadamard conjecture
* Hedetniemi's conjecture
* Herzog–Schönheim conjecture
* Hilbert–Smith conjecture
* Hopf conjecture
* Hodge conjecture
* Homological conjectures in commutative algebra
* Invariant subspace problem
* Jacobian conjecture
* Jacobson's conjecture
* Kakeya conjectures
* Kakeya needle problem
* Kaplansky conjecture
* Keating–Snaith conjecture
* Köthe conjecture
* Lawson's conjecture
* Lemoine's conjecture
* Lenstra–Pomerance–Wagstaff conjecture
* Leopoldt's conjecture
* Lichtenbaum conjecture
* List coloring conjecture
* Littlewood conjecture
* Lovász conjecture
* MNOP conjecture
* Manin conjecture
* Marshall Hall's conjecture
* Mazur's conjectures
* Deligne conjecture in monodromy
* Montgomery's pair correlation conjecture
* Nagata's conjecture on automorphisms
* n conjecture
* New Mersenne conjecture
* Nirenberg–Treves conjecture
* Novikov conjecture
* Oppermann's conjecture
* Petersen coloring conjecture
* Pierce–Birkhoff conjecture
* Pillai's conjecture
* De Polignac's 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 〔()〕)
* Quillen–Lichtenbaum conjecture
* Reconstruction conjecture
* ''Riemann Hypotheses'': see also Weil conjectures under Theorems
*
* Riemann hypothesis
*
*
* Generalized Riemann hypothesis
*
*
* Grand Riemann hypothesis
*
* Density hypothesis
*
* Lindelöf hypothesis
*
* Hilbert–Pólya conjecture on the Riemann hypothesis
* Ringel-Kotzig conjecture
* Sato–Tate conjecture
* Schanuel's conjecture
* Schinzel's hypothesis H
* Scholz conjecture
* Second Hardy–Littlewood conjecture
* Selfridge's conjecture
* Sendov's conjecture
* Serre's multiplicity conjectures
* Singmaster's conjecture
* Standard conjectures on algebraic cycles
* Tate conjecture
* Toeplitz' conjecture
* Twin prime conjecture
* Ulam's packing conjecture
* Unicity conjecture for Markov numbers
* Uniformity conjecture
* Vandiver's conjecture
* Vizing's conjecture
* Waring's conjecture
* Weight-monodromy conjecture
* Weinstein conjecture
* Whitehead conjecture
* Zauner's conjecture
* Zhou conjecture
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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