In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions on the exponents, would guarantee the transcendence of at least one of four exponentials. The conjecture, along with two related, stronger conjectures, is at the top of a hierarchy of conjectures and theorems concerning the arithmetic nature of a certain number of values of the exponential function.
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specifically the field of transcendental number theory, the fourexponentialsconjecture 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 exponentialsconjecture. This conjecture implies both...
equations The fourexponentialsconjecture: the transcendence of at least one of fourexponentials of combinations of irrationals Schanuel's conjecture on the...
They showed that this would follow from a special case of the fourexponentialsconjecture in transcendental number theory, specifically that for any two...
constant and the Grothendieck constant. Related conjectures: Schanuel's conjecture, Fourexponentialsconjecture. The first proof that the base of the natural...
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...
matrix Y. For matrix-matrix exponentials, there is a distinction between the left exponential YX and the right exponential XY, because the multiplication...
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...
proof of the Goldbach conjecture". In the movie, this number is known as a "martian prime". Cunningham chain Double exponential function Fermat number...
Game complexity List of unsolved problems in mathematics Unique games conjecture Unsolved problems in computer science A nondeterministic Turing machine...
The six exponentials theorem guarantees (given the right conditions on the exponents) the transcendence of at least one of a set of exponentials. There...
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...
n. Consider any conjecture that could be disproven via a counterexample among a countable number of cases (e.g. Goldbach's conjecture). Write a computer...
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...
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