Tribonacci numbers that are concatenations of two repdigits

被引：21
|
作者：
Ddamulira, Mahadi [1 ]
机构：
[1] Univ Technol, Inst Anal & Number Theory, Kopernikusgasse 24-2, A-8010 Graz, Austria
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 04期
基金：
奥地利科学基金会;
关键词：
Tribonacci number; repdigit; linear form in logarithms; reduction method; FIBONACCI;
D O I：
10.1007/s13398-020-00933-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (T-n)(n >= 0) be the sequence of Tribonacci numbers defined by T-0 = 0, T-1 = T-2 = 1, and Tn+3 = Tn+2 + Tn+1 + T-n for all n >= 0. In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two repdigits.
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页数：10
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