The exceptional set in the abc conjecture

2025/06/16 by Christian Bernert, Bernert, Christian
Mathematics · #11D41) #11D45 (11D72 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Differential Equations and Numerical Methods #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2506.13364

openalex publication_date 2025/06/16 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

We study the size of the exceptional set in the abc conjecture, improving on and simplifying work of Browning, Lichtman and Teräväinen.

Citations

• Bounds on the exceptional set in the abc conjecture
• On the Number of ABC Solutions with Restricted Radical Sizes

Cited by

• The abc conjecture is true almost always

Related

• On the exceptional set in the abc conjecture
• Bounds on the exceptional set in the abc conjecture
• Probable Counterexamples of the ABC Conjecture
• On the abc and the abcd conjectures
• Note on the ABC Conjecture