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• W2964010039 abstract "This is the second in a series of papers where we combine the classical approach to exponential Diophantine equations (linear forms in logarithms, Thue equations, etc.) with a modular approach based on some of the ideas of the proof of Fermat's Last Theorem. In this paper we use a general and powerful new lower bound for linear forms in three logarithms, together with a combination of classical, elementary and substantially improved modular methods to solve completely the Lebesgue–Nagell equation x2 + D = yn, x, y integers, ." @default.
• W2964010039 created "2019-07-30" @default.
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• W2964010039 date "2006-01-01" @default.
• W2964010039 modified "2023-10-13" @default.
• W2964010039 title "Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation" @default.
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• W2964010039 doi "https://doi.org/10.1112/s0010437x05001739" @default.
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