On the number of solutions of the generalized Ramanujan-Nagell equation $x²-D = 2^{n+2}$

ArticleOriginal scientific text

Title

Authors ¹

F. Beukers, On the generalized Ramanujan-Nagell equation I, Acta Arith. 38 (1981), 389-410.
P. G. L. Dirichlet, Sur une propriété des formes quadratiques à déterminant positif, J. Math. Pures Appl. (2) 1 (1856), 76-79.
L.-K. Hua, Introduction to Number Theory, Springer, Berlin 1982.
M.-H. Le, The diophantine equation $x ² = 4 q^{n} + 4 q^{m} + 1$ , Proc. Amer. Math. Soc. 106 (1989), 599-604.
R. Lidl and H. Niederreiter, Finite Fields, Addison-Wesley, Reading, Mass., 1983.
O. Perron, Die Lehre von den Kettenbrüchen, Teubner, Leipzig 1929.
K. Petr, Sur l'équation de Pell, Časopis Pest. Mat. Fys. 56 (1927), 57- 66 (in Czech).
N. Tzanakisand J. Wolfskill, The diophantine equation $x ² = 4 q^{\frac{a}{2}} + 4 q + 1$ , with an application to coding theory, J. Number Theory 26 (1987), 96-116.