Linear forms in p-adic logarithms and the Diophantine equation xn-1/x-1=yq

被引:49
作者
Bugeaud, Y [1 ]
机构
[1] Univ Strasbourg 1, UFR Math, F-67084 Strasbourg, France
关键词
D O I
10.1017/S0305004199003692
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:373 / 381
页数:9
相关论文
共 21 条
[1]   On the diophantine equation |axn-byn|=1 [J].
Bennett, MA ;
De Weger, BMM .
MATHEMATICS OF COMPUTATION, 1998, 67 (221) :413-438
[2]   Effective lower bounds of the p-adic distance between powers of algebraic numbers [J].
Bugeaud, Y ;
Laurent, M .
JOURNAL OF NUMBER THEORY, 1996, 61 (02) :311-342
[3]  
BUGEAUD Y, IN PRESS MATH P CAMB
[4]  
CASSELS JWS, 1960, P CAMB SOC, V0056, P00097
[5]   Linear forms in two logarithms and interpolation determinants [J].
Laurent, M ;
Mignotte, M ;
Nesterenko, Y .
JOURNAL OF NUMBER THEORY, 1995, 55 (02) :285-321
[6]  
LE MH, 1995, ACTA ARITH, V69, P91
[7]   A NOTE ON THE DIOPHANTINE EQUATION X(M)-1/X-1=Y(N) [J].
LE, MH .
ACTA ARITHMETICA, 1993, 64 (01) :19-28
[8]  
LE MH, 1995, ACTA ARITH, V83, P363
[9]  
Ljunggren W., 1943, NORSK MAT TIDSSKR, V25, P17
[10]  
Mignotte M, 1996, ACTA ARITH, V75, P287