The Nagell-Ljunggren equation via Runge's method

DOI10.1007/s00605-015-0748-1zbMath1395.11060arXiv1312.4037OpenAlexW2042495122MaRDI QIDQ2342275

Michael A. Bennett, Aaron Levin

Publication date: 11 May 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4037

zbMATH Keywords

Runge's methodNagell-Ljunggren equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (9)

Almost elusive classical groups ⋮ Arithmetic properties of the sum of divisors ⋮ A note on the Diophantine equations \(2 l n^2 = 1 + q + \cdots + q^\alpha\) and application to odd perfect numbers ⋮ Unnamed Item ⋮ Arithmetic of conjugacy of \(p\)-complements. ⋮ Extending Runge’s method for integral points ⋮ The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations ⋮ Almost elusive permutation groups ⋮ On Mersenne polynomials over \(\mathbb{F}_2\)

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