Geodesic
A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 535-544

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We shall show that, for any positive integer D > 0 and any primes p1, p2, the diophantine equation x2 + D = 2sp1kp2l has at most 63 integer solutions (x, k, l, s) with x, k, l ≥ 0 and s ∈ {0, 2}. 
YAMADA, TOMOHIRO. A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 535-544. doi: 10.1017/S0017089518000344
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     author = {YAMADA, TOMOHIRO},
     title = {A {GENERALIZATION} {OF} {THE} {RAMANUJAN{\textendash}NAGELL} {EQUATION}},
     journal = {Glasgow mathematical journal},
     pages = {535--544},
     year = {2019},
     volume = {61},
     number = {3},
     doi = {10.1017/S0017089518000344},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000344/}
}
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