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...

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

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...

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...

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...

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

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

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

{1}{z}}<1} . Beal's conjecture can be restated as "All Fermat–Catalan conjecture solutions will use 2 as an exponent". The abc conjecture would imply that...

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 =...

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...

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...

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

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...

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:...

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...

Top 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z abc conjecture The abc conjecture of Masser and Oesterlé attempts to state as much as possible...

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

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

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

numerous contributions to number theory, in particular to work on the abc conjecture. In 1976 he obtained, with Alan Baker, an effective improvement to Liouville's...

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

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

{x}}} by x + c x 1 / 5 log ⁡ x . {\displaystyle x+cx^{1/5}\log x.} The abc conjecture would allow x + x o ( 1 ) {\displaystyle x+x^{o(1)}} . The squarefree...

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...

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

also made contributions to the understanding of Siegel zeroes, to the ABC conjecture, to modular forms on GL ⁡ ( n ) {\displaystyle \operatorname {GL} (n)}...

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...