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- W2997333247 abstract "We study the generalized Lebesgue–Nagell equation x 2 + 7 2 k + 1 = y n in integers x , y , k , n with k ⩾ 0 and n ⩾ 3 . We use the modular method, the multi–Frey technique and a symplectic argument. We also use a recent implementation of algorithms for solving Thue–Mahler equations by Adela Gherga for the cases n = 3 and 5. The combination of the previous methods allows us to get results for the case 2 ∣ y for the first time." @default.
- W2997333247 created "2020-01-10" @default.
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- W2997333247 date "2019-12-31" @default.
- W2997333247 modified "2023-10-02" @default.
- W2997333247 title "AN APPLICATION OF THE MODULAR METHOD AND THE SYMPLECTIC ARGUMENT TO A LEBESGUE–NAGELL EQUATION" @default.
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- W2997333247 doi "https://doi.org/10.1112/mtk.12018" @default.
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