This is a listof notable mathematical conjectures. The following conjectures remain open. The (incomplete) column "cites" lists the number of results for...
Poincaré conjecture), Fermat's Last Theorem, and others. Conjectures disproven through counterexample are sometimes referred to as false conjectures (cf....
Listof unsolved problems may refer to several notable conjectures or open problems in various academic fields: Unsolved problems in astronomy Unsolved...
results factored out of proofs). See also list of axioms, listof theorems and listofconjectures. Abhyankar's lemma Aubin–Lions lemma Bergman's diamond...
{\displaystyle c} . A number of famous conjectures and theorems in number theory would follow immediately from the abc conjecture or its versions. Mathematician...
Langlands conjectures have evolved since Langlands first stated them in 1967. There are different types of objects for which the Langlands conjectures can be...
problems in mathematics) The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple...
standard conjectures about algebraic cycles are several conjectures describing the relationship of algebraic cycles and Weil cohomology theories. One of the...
1016/S0012-365X(03)00292-9. MR 2046636. Chow, T. Y. (1995). "On the Dinitz conjecture and related conjectures" (PDF). Discrete Mathematics. 145 (1–3): 73–82. doi:10...
case can be completed if Vizing's planar graph conjecture is true. Also, if the list coloring conjecture is true, then χ″(G)≤Δ(G)+3.{\displaystyle \chi...
structure. The conjecture was proposed by William Thurston (1982), and implies several other conjectures, such as the Poincaré conjecture and Thurston's...
also proved in the same paper that these two conjectures are equivalent to the Poisson conjecture. Listof unsolved problems in mathematics Keller, Ott-Heinrich...
homological conjectures have been a focus of research activity in commutative algebra since the early 1960s. They concern a number of interrelated (sometimes...
results and conjectures concerning graph coloring are the following: Four-color theorem Strong perfect graph theorem Erdős–Faber–Lovász conjecture Total coloring...