A lower bound in the \(abc\) conjecture

DOI10.1006/jnth.1999.2484zbMath0998.11033OpenAlexW2082736755WikidataQ123336390 ScholiaQ123336390MaRDI QIDQ1587659

Machiel van Frankenhuijsen

Publication date: 7 October 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2484

zbMATH Keywords

lower bounds\(abc\) conjecturesphere packing methods

Mathematics Subject Classification ID

Heights (11G50) Lattice packing and covering (number-theoretic aspects) (11H31) Distribution of integers with specified multiplicative constraints (11N25)

Related Items

On $abc$ and discriminants, Lecture on the abc Conjecture and Some of Its Consequences, A refinement of theabcconjecture, Two restricted ABC conjectures, Lower bounds for numbers of \(ABC\)-hits, \(abc\) triples, ABC implies the radicalized Vojta height inequality for curves, The ABC conjecture implies Vojta's height inequality for curves, The exceptional set in Vojta’s conjecture for algebraic points of bounded degree

Cites Work

• On the Oesterlé-Masser conjecture
• Diophantine approximations and value distribution theory
• Number theory III: Diophantine geometry
• On the \(abc\) conjecture
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