| 关于Ramanujan-Nagell型方程x2+2n=B |
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| 引用本文： | 张中峰,、柏萌.关于Ramanujan-Nagell型方程x2+2n=B[J].西南师范大学学报(自然科学版),2017,42(6). |
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| 作者姓名： | 张中峰 、柏萌 |
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| 作者单位： | 肇庆学院 数学与统计学院,广东 肇庆,526061 |
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| 摘 要： | 证明了对任意正整数B,Ramanujan-Nagell型方程x2+2n=B的非负整数解(x,n)的组数不超过3,从而解决了Ulas关于Ramanujan-Nagell型方程x~2+k~n=B在k=2时的解数猜测.
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| 关 键 词： | 丢番图方程 Ramanujan-Nagell型方程 解数 |
On Ramanujan-Nagell Type Equation x2+2n=B |
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| ZHANG Zhong-feng,BAI Meng.On Ramanujan-Nagell Type Equation x2+2n=B[J].Journal of Southwest China Normal University(Natural Science),2017,42(6). |
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| Authors: | ZHANG Zhong-feng BAI Meng |
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| Abstract: | In this paper, it was proved that for any positive integer B, the number of solutions in nonnegative integer (x, n) of the Ramanujan-Nagell type equation x2+2n=B is at most 3, which solved the case k=2 of a conjecture of Ulas to the number of solutions of Ramanujan-Nagell type equation x2+kn=B. |
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