Let D be a nonsquare integer and p be an odd prime with p(?)D. The equation x^2-D=p^n, x>0, n>0 (1) is usually called the generalized Ramanujan-Nagell equation. For this equation, there are many related works wr...Let D be a nonsquare integer and p be an odd prime with p(?)D. The equation x^2-D=p^n, x>0, n>0 (1) is usually called the generalized Ramanujan-Nagell equation. For this equation, there are many related works written by Alter and Kubota, Brown, Cohen and lnkeri. In this letter, we shall prove the展开更多
文摘Let D be a nonsquare integer and p be an odd prime with p(?)D. The equation x^2-D=p^n, x>0, n>0 (1) is usually called the generalized Ramanujan-Nagell equation. For this equation, there are many related works written by Alter and Kubota, Brown, Cohen and lnkeri. In this letter, we shall prove the