Periodic continued fractions over S-integers in number fields and Skolem's p-adic method

被引:5
作者
Brock, Bradley W. [1 ]
Elkies, Noam D. [2 ]
Jordan, Bruce W. [3 ]
机构
[1] Ctr Commun Res, 805 Bunn Dr, Princeton, NJ 08540 USA
[2] Harvard Univ, Math Dept, 1 Oxford St, Cambridge, MA 02138 USA
[3] CUNY, Dept Math, Baruch Coll, One Bernard Baruch Way, New York, NY 10010 USA
关键词
periodic continued fraction; Skolem's p-adic method; Ljunggren's equation; diophantine equations;
D O I
10.4064/aa191001-7-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:379 / 420
页数:42
相关论文
共 15 条
[1]  
[Anonymous], 1656, ARITHMETICA INFINITO
[2]   The Magma algebra system .1. The user language [J].
Bosma, W ;
Cannon, J ;
Playoust, C .
JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) :235-265
[3]  
CREMONA JE, 1997, ALGORITHMS MODULAR E
[4]  
Dickson L.E., 1920, History of the Theory of Numbers: Diophantine Analysis, V2
[5]  
EULER L, 1985, MATH SYST THEORY, V18, P295
[6]  
Galois E., 1828, ANN MAT PUR APPL, V19, P294
[7]  
JONES WM, 1980, B COUN RES MUSIC ED, P11
[8]  
Lagrange J.L., 1770, Memoires de l'Academie royale des Sciences et Belles-lettres de Berlin, VXXIV, P111
[9]  
Ljunggren W., 1942, AVH NORSKE AKAD OSLO, VI
[10]  
Serre J.-P., 1989, Lectures on the Mordell-Weil theorem