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• W2963332193 abstract "It is shown that there are finitely many perfect powers in an elliptic divisibility sequence whose first term is divisible by 2 or 3. For Mordell curves the same conclusion is shown to hold if the first term is greater than 1. Examples of Mordell curves and families of congruent number curves are given with corresponding elliptic divisibility sequences having no perfect power terms. The proofs combine primitive divisor results with modular methods for Diophantine equations." @default.
• W2963332193 created "2019-07-30" @default.
• W2963332193 creator A5023640337 @default.
• W2963332193 date "2012-05-01" @default.
• W2963332193 modified "2023-10-17" @default.
• W2963332193 title "Perfect powers in elliptic divisibility sequences" @default.
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• W2963332193 doi "https://doi.org/10.1016/j.jnt.2011.09.013" @default.
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