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1)  Lucas/Lehmer sequence
Lucas/Lehmer序列
2)  Lehmer squares
Lehmer序列
3)  Lucas numbers
Lucas序列
1.
In this paper, we define the reciprocals sums of the Lucas numbers product J(1,2,…,m) and K(1,2,…,m), and determine a reversel formula of J(1,2,…,m) and K(1,2,…,m) by using the generalized the Lucas numbers recurrence.
给出了关于Lucas序列乘积的倒数和J(1,2,…,m)和K(1,2,…,m)的定义,根据Lucas序列的递推关系以及性质,得到了关于J(1,2,…,m)与K(1,2,…,m)之间的反演公式。
2.
In this paper, based on the recursion of Lucas numbers, we obtained some identical equations and congruences about Lucas numbers by using generating functions produced with Lucas numbers and revealed the internal relationship between Lucas numbers.
根据Lucas序列的递归关系,利用Lucas序列生成的母函数,得到了几个关于Lucas序列的恒等式和同余式,揭示了Lucas序列之间的内在联系。
4)  lucas sequences
Lucas序列
1.
Blind signature schemes based on Lucas sequences;
基于Lucas序列的盲签名方案
2.
The monotonicity of Lucas sequences;
关于Lucas序列的单调性
3.
One-paramcter Lucas sequences Un = Un(u) and Vn = Vn{u) arc defined as: U0 = 0,V0 = 2,U1 = 1,V1 = u,Un = uUn-1 - Un-2,Vn = uVn-1 - Vn-2,n > 2.
单参数Lucas序列U_n=U_n(u)和V_n=V_n(u)定义为:U_0=0,V_0=2,U_1=1,V_1=u,U_n=uU_(n-1)-U_(n-2),V_n=uV_(n-1)-V_(n-2),n≥2。
5)  Lucas sequence
Lucas序列
1.
A new blind signature scheme based on Lucas sequences;
一种基于Lucas序列的盲签名方案
2.
Lucas public-key cryptosystem effectively combines Lucas sequence of Number theory with public-key cryptosystem.
Lucas公钥密码体制是数论中的Lucas序列与公钥密码体制思想的有效结合。
3.
In this paper,let Lucas sequence Un(p,q),Vn(p,q),given several particular values of p,q,based on Kummer s identities and Binominal theorem,several intesreting combinatorial coefficient identities have been derived.
设Un(p,q),Vn(p,q)是Lucas序列,给出p,q的一些值,利用库末(kummer)恒等式和二项式定理推导一些有趣的组合恒等式。
6)  Lucas-Fibonacci sequences
Lucas-Fibonacci序列
补充资料:Lucas reagent
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性质:又称盐酸-氯化锌试剂。将1mol无水氯化锌溶于1mol纯浓盐酸中制备。在有机分析中用作伯、仲、叔醇的鉴别试剂。叔醇或苄醇与该试剂混合后,溶液立即浑浊或分层:5~10min内分层的为仲醇,不分层的为伯醇。

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