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The Problem of Catalan

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Publication:2878854
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DOI10.1007/978-3-319-10094-4zbMath1315.11003OpenAlexW4231117739MaRDI QIDQ2878854

Maurice Mignotte, Yuri F. Bilu, Yann Bugeaud

Publication date: 5 September 2014

Full work available at URL: https://doi.org/10.1007/978-3-319-10094-4


zbMATH Keywords

class numbernumber fieldsDiophantine equationsCatalan's conjectureStickelberger ideal


Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Exponential Diophantine equations (11D61) Cyclotomic extensions (11R18)


Related Items (5)

Primes of higher degree and annihilators of class groups ⋮ On equation Xn − 1 = BZn ⋮ Solving \(a x^p + b y^p = c z^p\) with \(abc\) containing an arbitrary number of prime factors ⋮ Improved lower bounds for possible solutions in the second case of the Fermat last theorem and in the Catalan equation ⋮ A note on secure multiparty computation via higher residue symbols




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