| 不定方程y~2=x~3+D在F_p上解的个数的确定 |
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| 引用本文： | 张丽平.不定方程y~2=x~3+D在F_p上解的个数的确定[J].贵州师范大学学报(自然科学版),2007,25(2):57-59. |
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| 作者姓名： | 张丽平 |
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| 作者单位： | 重庆师范大学,数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 设p>3是素数,判定不定方程y2=x3+D在Fp上解的个数,主要应用Fp上三阶和二阶的特征加以实现,并对结果进行推广。
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| 关 键 词： | 不定方程 二阶特征 三阶特征 雅可比和 |
| 文章编号： | 1004-5570（2007）02-0057-03 |
| 收稿时间： | 2007-01-10 |
| 修稿时间： | 2007年1月10日 |
The determination of solution's numers of the diophantine equation y2 = x3+D in Fp |
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| ZHANG Li-ping.The determination of solution''s numers of the diophantine equation y2 = x3+D in Fp[J].Journal of Guizhou Normal University(Natural Sciences),2007,25(2):57-59. |
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| Authors: | ZHANG Li-ping |
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| Institution: | College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China |
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| Abstract: | Let p>3 be a prime number,The Poper proves the solution's numbers of diophantine equation y2=x3+D in Fp.The realization is mainly used by character of order 2 and character of order 3 over Fp.More development to the result is made. |
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| Keywords: | diophantine dquation character of order 2 character of order 3 Jacobi sums |
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