specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions on the exponents, would...

of the five exponentials theorem as well, although it as yet unproven so is known as the sharp five exponentials conjecture. This conjecture implies both...

Baker's theorem, as does the currently unproven four exponentials conjecture. Schanuel's conjecture, if proved, would also settle whether numbers such...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

unproven Schanuel's conjecture, and does not imply the six exponentials theorem nor, clearly, the still open four exponentials conjecture. The main reason...

equations The four exponentials conjecture: the transcendence of at least one of four exponentials of combinations of irrationals Schanuel's conjecture on the...

constant and the Grothendieck constant. Related conjectures: Schanuel's conjecture, Four exponentials conjecture. The first proof that the base of the natural...

They showed that this would follow from a special case of the four exponentials conjecture in transcendental number theory, specifically that for any two...

problems in mathematics) The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple...

In mathematics, the Weil conjectures were highly influential proposals by André Weil (1949). They led to a successful multi-decade program to prove them...

The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and...

is exponential in the iterated logarithm of n necessarily contains a cycle whose length is a power of two (Sudakov & Verstraëte 2008). The conjecture is...

matrix Y. For matrix-matrix exponentials, there is a distinction between the left exponential YX and the right exponential XY, because the multiplication...

running a statistical computer program. An exponential decay can be described by any of the following four equivalent formulas:: 109–112  N ( t ) = N...

had been used previously, it was applied twice and four times to coincide with the Hadamard conjecture, while triple application required more than double...

{\displaystyle c_{p}^{n}} for some c p < p {\displaystyle c_{p}<p} . The cap set conjecture was solved in 2016 due to a series of breakthroughs in the polynomial...

definitions of the trigonometric functions and the standard identities for exponentials are sufficient to easily derive most trigonometric identities. It provides...

The six exponentials theorem guarantees (given the right conditions on the exponents) the transcendence of at least one of a set of exponentials. There...

the proof. The Poincaré conjecture and the spherical space form conjecture are corollaries of the geometrization conjecture, although there are shorter...

proof of the Goldbach conjecture". In the movie, this number is known as a "Martian prime". Cunningham chain Double exponential function Fermat number...

problems in mathematics) In the mathematics of graph coloring, Cereceda’s conjecture is an unsolved problem on the distance between pairs of colorings of sparse...

conjectures which can be encoded as "does this Turing machine halt or not". For example, a 27-state Turing machine could check Goldbach's conjecture for...

problems in graph theory (such as the cycle double cover conjecture and the 5-flow conjecture), one encounters an interesting but somewhat mysterious variety...

withstood proof for decades: all four of Landau's problems from 1912 are still unsolved. One of them is Goldbach's conjecture, which asserts that every even...

resolved or made progress on a number of conjectures. In 2012, Green and Tao announced proofs of the conjectured "orchard-planting problem," which asks...

Game complexity List of unsolved problems in mathematics Unique games conjecture Unsolved problems in computer science A nondeterministic Turing machine...

In geometry, Keller's conjecture is the conjecture that in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes...

which Spinrad restated as a conjecture, remains open. Among the families of graphs which satisfy the conditions of the conjecture and for which there is no...

In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers...

recognition of his contributions to partial differential equations, the Calabi conjecture, the positive energy theorem, and the Monge–Ampère equation. Yau is considered...