Integers represented by Lucas sequences

被引：0
|
作者：
Hajdu, Lajos [1 ,2 ]
Tijdeman, Rob [3 ]
机构：
[1] Univ Debrecen, Inst Math, POB 400, H-4002 Debrecen, Hungary
[2] HUN REN Equat Funct Curves & Their Applicat Res Gr, Debrecen, Hungary
[3] Leiden Univ, Math Inst, Postbus 9512, NL-2300 RA Leiden, Netherlands
来源：
RAMANUJAN JOURNAL | 2025年 / 66卷 / 04期
关键词：
Lucas sequences; Integers represented by forms; Fibonacci polynomials; LOGARITHMS; DIVISORS; FORMS; TERM;
D O I：
10.1007/s11139-025-01041-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the sets of integers which are n-th terms of Lucas sequences. We establish lower- and upper bounds for the size of these sets. These bounds are sharp for n sufficiently large. We also develop bounds on the growth order of the terms of Lucas sequences that are independent of the parameters of the sequence, which is a new feature.
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页数：27
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