On the period of the continued fraction expansion of √22n+1+1

被引：6

作者：

Bugeaud, Y

Luca, F

机构：

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

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58180, Michoacan, Mexico

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2005年 / 16卷 / 01期

关键词：

D O I：

10.1016/S0019-3577(05)80012-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a general result which implies that the period of the continued fraction expansion of root 2(2n+1) + 1 tends to infinity when n tends to infinity.

引用

页码：21 / 35

页数：15

共 18 条

[11] LUCA F, 2003, EXPONENT GROUP POINT
[12] NARKIEWICZ W, 1990, POLISH SCI PUBL WARS
[13] The number of solutions of polynomial-exponential equations
Schlickewei, HP
Schmidt, WP
[J]. COMPOSITIO MATHEMATICA, 2000, 120 (02) : 193 - 225
[14] Schmidt W.M, 1980, LECT NOTES MATH, V785
[15] Schmidt W.M., 1991, Lecture Notes in Mathematics, V1467
[16] SCREMIN A, PERIOD CONTINUED FRA
[17] STEWART I, 2002, ALGEBRAIC NUMBER THE
[18] ZEROS OF RECURRENCE SEQUENCES
VANDERPOORTEN, AJ
SCHLICKEWEI, HP
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 44 (02) : 215 - 223

← 1 2 →