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...

x^{\lambda n}} uniformly in m and n. The general conjecture would follow from the ABC conjecture. Pillai's conjecture means that for every natural number n, there...

Szpiro's conjecture relates to the conductor and the discriminant of an elliptic curve. In a slightly modified form, it is equivalent to the well-known abc conjecture...

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

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...

theory, the Fermat–Catalan conjecture is a generalization of Fermat's Last Theorem and of Catalan's conjecture. The conjecture states that the equation...

unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem...

Ribet's theorem (earlier called the epsilon conjecture or ε-conjecture) is part of number theory. It concerns properties of Galois representations associated...

Fermat's Last Theorem Mordell conjecture Euler's sum of powers conjecture abc Conjecture Catalan's conjecture Pillai's conjecture Hasse principle Diophantine...

theorem (formerly called the Taniyama–Shimura conjecture, Taniyama–Shimura–Weil conjecture or modularity conjecture for elliptic curves) states that elliptic...

The Beal conjecture is the following conjecture in number theory: Unsolved problem in mathematics: If A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}}...

Vojta's conjecture is a conjecture introduced by Paul Vojta (1987) about heights of points on algebraic varieties over number fields. The conjecture was motivated...

a French mathematician who, along with David Masser, formulated the abc conjecture which has been called "the most important unsolved problem in diophantine...

from non-mathematicians due to claims it provides a resolution of the abc conjecture. Shinichi Mochizuki was born to parents Kiichi and Anne Mochizuki. When...

Gauss–Manin connection may give some important hints for Vojta's conjecture, ABC conjecture and so on; in 2012, he published his Inter-universal Teichmuller...

number theory, the n conjecture is a conjecture stated by Browkin & Brzeziński (1994) as a generalization of the abc conjecture to more than three integers...

Look up ABC, abc, A.B.C., or ABCs in Wiktionary, the free dictionary. ABC are the first three letters of the Latin script. ABC or abc may also refer to:...

to provide a proof for various outstanding conjectures in number theory, in particular the abc conjecture. Mochizuki and a few other mathematicians claim...

random Hermitian matrices. n conjecture: a generalization of the abc conjecture to more than three integers. abc conjecture: for any ϵ > 0 {\displaystyle...

weak form of Hall's conjecture would follow from the ABC conjecture. A generalization to other perfect powers is Pillai's conjecture, though it is also...

follow from the abc conjecture that there are only finitely many Brown numbers. More generally, it would also follow from the abc conjecture that n ! + A =...

investigate conjectures and open problems in number theory, including the Riemann hypothesis, the Birch and Swinnerton-Dyer conjecture, the ABC conjecture, the...

prime}}}p} The radical plays a central role in the statement of the abc conjecture. Radical numbers for the first few positive integers are 1, 2, 3, 2...

the theory of symplectic topology as a distinct discipline. The Arnold conjecture on the number of fixed points of Hamiltonian symplectomorphisms and Lagrangian...

numbers as well as more general subjects such as number fields and the abc conjecture. As of 2024[update], the only known Wieferich primes are 1093 and 3511...

counterexample to the Bombieri–Lang conjecture and to the abc conjecture. It would also solve Harborth's conjecture, on the existence of drawings of planar...

together with Juliusz Brzeziński, he formulated the n-conjecture—a version of the abc conjecture involving n > 2 integers. "Zmarł Profesor Jerzy Browkin...

theorem, is a mathematical theorem about polynomials, analogous to the abc conjecture for integers. It is named after Walter Wilson Stothers, who published...

its smallest term must be congruent to 7, 27, or 35 modulo 36. If the abc conjecture is true, there are only a finite number of sets of three consecutive...

number of solutions. The truth of Pillai's conjecture, in turn, would follow from the truth of the abc conjecture. Narkiewicz, Wladyslaw (2011), Rational...