%0 Journal Article
%T On the Ramanujan-Nagell type Diophantine equation x2+Akn=B
%A Togb¨¦
%A Alain
%A Zhang
%A Zhongfeng
%J -
%D 2018
%R 10.3336/gm.53.2.01
%X Sa£¿etak Let A, B be positive integers and q a prime. In this paper, we prove that the Ramanujan-Nagell type Diophantine equation x2+Aqn=B has at most four nonnegative integer solutions (x, n) for q2£¿ B and B¡Ý C where C is some constant depending of A. We also prove that the equation x2+3¡Á2n=B has at most four nonnegative integer solutions (x, n). Therefore, we partially confirm a conjecture of Ulas ([4])
%K Diophantine equations
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=313462