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Almost perfect powers in consecutive integers

Guillaume Hanrot 1 Natarajan Saradha 2 Tarlok Shorey 2
1 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
2 School of Mathematics
Abstract : We study a generalized version of a theorem of Erdos and Selfridge on when a product of consecutive integers is a pure power.
Mots-clés : thue equations perfect powers diophantine equations équations diophantiennes équations de thue puissances pures
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Journal articles
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https://hal.inria.fr/inria-00100544
Contributor : Publications Loria <>
Submitted on : Tuesday, September 26, 2006 - 2:46:56 PM
Last modification on : Friday, February 26, 2021 - 3:28:06 PM

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  • HAL Id : inria-00100544, version 1

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INRIA | CNRS | LORIA | UNIV-LORRAINE

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Guillaume Hanrot, Natarajan Saradha, Tarlok Shorey. Almost perfect powers in consecutive integers. Acta Arithmetica, Instytut Matematyczny PAN, 2001, 99 (1), pp.13--25. ⟨inria-00100544⟩

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