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- W2262865951 abstract "Let $P,QinBbb Z$, $U_0=0, U_1=1$ and $U_{n+1}=PU_n-QU_{n+1}$. In this paper we obtain a general congruence for $U_{kmn^r}/U_kpmod {n^{r+1}}$, where $k,m,n,r$ are positive integers. As applications we extend Lucas' law of repetition and characterize the square prime factors of $a^n+1$ or $S_n$, where ${S_n}$ is given by $S_1=P^2+2$ and $S_{k+1}=S_k^2-2 (kge 1)$." @default.
- W2262865951 created "2016-06-24" @default.
- W2262865951 creator A5069138836 @default.
- W2262865951 date "2013-12-12" @default.
- W2262865951 modified "2023-09-22" @default.
- W2262865951 title "Congruences concerning Lucas' law of repetition" @default.
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- W2262865951 hasPublicationYear "2013" @default.
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