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On the Diophantine equation \({x^ n-1\over x-1}=y^ q\).

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Publication:1587521
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DOI10.2140/pjm.2000.193.257zbMath1064.11030OpenAlexW825387207MaRDI QIDQ1587521

Yves Roy, Maurice Mignotte, Yann Bugeaud

Publication date: 3 December 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2000.193.257


zbMATH Keywords

\(p\)-adic logarithmsexponential Diophantine equationsDiophantine approximations


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)


Related Items (9)

On the number of simple \(K_4\) groups ⋮ PERFECT POWERS WITH THREE DIGITS ⋮ Unnamed Item ⋮ Arithmetic of conjugacy of \(p\)-complements. ⋮ On simple \(K_4\)-groups ⋮ Onp-Brauer Characters andp-Regular Conjugacy Classes ⋮ The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations ⋮ The Nagell-Ljunggren equation via Runge's method ⋮ On elliptic curves whose conductor is a product of two prime powers






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