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Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)

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Publication:2388609
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DOI10.5802/jtnb.478zbMath1080.11030OpenAlexW2043218744MaRDI QIDQ2388609

Yuri F. Bilu

Publication date: 15 September 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2005__17_1_69_0



Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Cyclotomic extensions (11R18)


Related Items (1)

Solutions to the knower paradox in the light of Haack's criteria



Cites Work

  • A class number free criterion for Catalan's conjecture.
  • Linear forms in two logarithms and interpolation determinants
  • On the class groups of cyclotomic extensions in presence of a solution to Catalan's equation
  • Minorations pour l'équation de Catalan
  • Un nouveau critère pour l'équation de Catalan
  • Primary cyclotomic units and a proof of Catalans conjecture
  • Catalan's Equation Has No New Solution with Either Exponent Less Than 10651
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