Powerful arithmetic progressions

DOI10.1016/S0019-3577(09)00012-3zbMath1186.11017OpenAlexW2008283246MaRDI QIDQ735424

Lajos Hajdu

Publication date: 22 October 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(09)00012-3

zbMATH Keywords

arithmetic progressionperfect powers

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Exponential Diophantine equations (11D61) Arithmetic progressions (11B25)

Uses Software

• Magma

Cites Work

• Arithmetic progressions of squares, cubes and \(n\)-th powers
• The Magma algebra system. I: The user language
• Arithmetic progressions consisting of unlike powers
• Approximate formulas for some functions of prime numbers
• Some ternary Diophantine equations of signature (n, n, 2)
• Note on the paper ``An extension of a theorem of Euler" by Hirata-Kohno et al. (Acta Arith. 129 (2007), 71–102)
• Squares in products in arithmetic progression with at most one term omitted and common difference a prime power
• Chabauty methods using elliptic curves
• Primary cyclotomic units and a proof of Catalans conjecture
• Perfect powers in arithmetic progression. A note on the inhomogeneous case
• On the Equations z^m = F (x, y ) and Ax^p + By^q = Cz^r
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