On $abc$ and discriminants

DOI10.1090/S0002-9939-02-06589-9zbMath1030.11011MaRDI QIDQ4539830

David W. Masser

Publication date: 11 July 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

conductordiscriminantabc conjecture

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Exponential Diophantine equations (11D61) Linear Diophantine equations (11D04) Multiplicative number theory (11N99)

Related Items (9)

Lecture on the abc Conjecture and Some of Its Consequences ⋮ Effectiveness of Siegel's theorem and the abc conjecture ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ On the abc$abc$ conjecture in algebraic number fields ⋮ The \(abc\)-conjecture for algebraic numbers ⋮ Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture ⋮ Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture ⋮ Jerzy Browkin (1934–2015) ⋮ ABC implies there are infinitely many non-Fibonacci-Wieferich primes

Cites Work

• On the Oesterlé-Masser conjecture
• Diophantine approximations and value distribution theory
• Quelques applications du théorème de densité de Chebotarev
• Number theory III: Diophantine geometry
• A lower bound in the \(abc\) conjecture
• \(ABC\) implies no ``Siegel zeros for \(L\)-functions of characters with negative discriminant
• On the Equations z^m = F (x, y ) and Ax^p + By^q = Cz^r
• Numbers with small prime factors, and the least 𝑘th power non-residue
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