The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\)
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Publication:1419572
zbMath1040.11015MaRDI QIDQ1419572
Maurice Mignotte, Yann Bugeaud
Publication date: 16 March 2004
Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Exponential Diophantine equations (11D61)
Related Items (10)
Arithmetic properties of the sum of divisors ⋮ New bounds and conditions for the equation of Nagell-Ljunggren ⋮ A note on the Diophantine equations \(2 l n^2 = 1 + q + \cdots + q^\alpha\) and application to odd perfect numbers ⋮ Arithmetic of conjugacy of \(p\)-complements. ⋮ Unnamed Item ⋮ The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations ⋮ A weak effective \(abc\)-conjecture ⋮ Diophantine equations with products of consecutive terms in Lucas sequences ⋮ The Nagell-Ljunggren equation via Runge's method ⋮ Bennett's Pillai theorem with fractional bases and negative exponents allowed
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