PRIME DIVISORS OF LUCAS SEQUENCES AND A CONJECTURE OF SKAŁBA
PRIME DIVISORS OF LUCAS SEQUENCES AND A CONJECTURE OF SKAŁBA
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卢卡斯数列的素因数和斯卡巴猜想
DOI：
10.1142/s1793042105000285
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发表时间：
2005
影响因子：
0.7
通讯作者：
P. Stănică
中科院分区：
文献类型：
--
作者：
F. Luca;P. Stănică
本文给出了一些启发式的结论，如果（un）n≥0是由un = (an - 1)/(a - 1)给出的Lucas序列，其中> 1是整数，则ω(un)≥(1 + o(1))log n log n对几乎所有正整数n都成立。
In this paper, we give some heuristics suggesting that if (un)n≥0 is the Lucas sequence given by un = (an - 1)/(a - 1), where a > 1 is an integer, then ω(un) ≥ (1 + o(1))log n log log n holds for almost all positive integers n.