A consequence of an effective form of the abc-conjecture
T. Cochrane and R. E. Dressler [CD] proved that the abc-conjecture implies that, for every > 0, the gap between two consecutive numbers A with two exceptions given in Table 2.
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Displaying 1 – 11 of 11
A new kind of Diophantine equations
Binzhou Xia, Tianxin Cai (2011)
Acta Arithmetica
A note on primes p with
Maohua Le (1991)
Colloquium Mathematicae
About some Diophantine equations with restrictions.
Acu, Dumitru (1999)
General Mathematics
Adjugates of Diophantine quadruples.
Gibbs, Philip (2010)
Integers
Algebraic independence by Mahler’s method and -unit equations
Kumiko Nishioka (1994)
Compositio Mathematica
Algorithms for finding good examples for the and Szpiro conjectures.
Nitaj, Abderrahmane (1993)
Experimental Mathematics
An application of Hilbert's irreducibility theorem to diophantine equations
Andrzej Schinzel (1982)
Acta Arithmetica
An explicit upper bound for the number of solutions of the S-unit equation.
Hans Peter Schlickewei (1990)
Journal für die reine und angewandte Mathematik
An improved algorithm for the solution of integer programs by the solution of associated diophantine equations
G. Mitra, D. B. C. Richards, K. Wolfenden (1970)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Arithmetic over the rings of all algebraic integers.
Robert S. Rumely (1986)
Journal für die reine und angewandte Mathematik
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