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- W3211471107 abstract "Let k be a positive integer. In this paper, using the modular approach, we prove that if k≡0(mod4), 30<k<724 and 2k−1 is an odd prime power, then under the GRH, the equation x2+(2k−1)y=kz has only one positive integer solution (x,y,z)=(k−1,1,2). The above results solve some difficult cases of Terai’s conjecture concerning this equation." @default.
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- W3211471107 date "2022-09-01" @default.
- W3211471107 modified "2023-10-18" @default.
- W3211471107 title "A modular approach to the generalized Ramanujan–Nagell equation" @default.
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- W3211471107 doi "https://doi.org/10.1016/j.indag.2022.04.005" @default.
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