A weak effective \(abc\)-conjecture

DOI10.7169/facm/1229696557zbMath1241.11033OpenAlexW1972085732WikidataQ123279299 ScholiaQ123279299MaRDI QIDQ1038628

Jerzy Browkin

Publication date: 18 November 2009

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229696557

zbMATH Keywords

Fermat equationWieferich primesBrocard-Ramanujan equationCatalan equationLjunggren-Nagell equation

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)

Related Items (4)

Lecture on the abc Conjecture and Some of Its Consequences ⋮ On the number of special numbers ⋮ Existence of the solutions to the Brocard–Ramanujan problem for norm forms ⋮ The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wieferich's criterion and the abc-conjecture
• The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\)
• On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\)
• LLL \(\and\) ABC
• Modular elliptic curves and Fermat's Last Theorem
• The \(abc\) conjecture
• Approximate formulas for some functions of prime numbers
• Fermat’s Last Theorem for Amateurs
• Some Remarks on the abc-Conjecture
• The Diophantine Equation n ! + 1 = m²
• Primary cyclotomic units and a proof of Catalans conjecture
• A consequence of an effective form of the abc-conjecture

This page was built for publication: A weak effective \(abc\)-conjecture