On the diophantine equation xn-1/x-1=yq, II

被引：10

作者：

Bugeaud, Y

Mignotte, M

机构：

[1] Univ Strasbourg, UFR Math, F-67084 Strasbourg, France

[2] CNRS, F-67084 Strasbourg, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 328卷 / 09期

关键词：

D O I：

10.1016/S0764-4442(99)80263-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We announce several new theorems on the Diophantine equation (x(n) - 1)/(x - 1) = y(q), which include the fact that any integer greater than 2 and with all digits equal to 1 in base ten cannot be a pure power. We then apply these results to solve this equation for any integer x of the form x = z(t) with 2 less than or equal to z less than or equal to 10000 and t greater than or equal to 1. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：741 / 744

页数：4

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