The exceptional set in the abc conjecture
Christian Bernert
TL;DR
This paper investigates the size of the exceptional set in the abc conjecture, providing improvements and simplifications over previous research by Browning, Lichtman, and Teräväinen.
Contribution
It offers new bounds and a simplified approach to understanding the exceptional set in the abc conjecture.
Findings
Improved bounds on the size of the exceptional set
Simplified proof techniques for existing results
Enhanced understanding of the abc conjecture's structure
Abstract
We study the size of the exceptional set in the conjecture, improving on and simplifying work of Browning, Lichtman and Ter\"av\"ainen.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Advanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory