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- W1574397766 abstract "Let $p$ be a prime. A famous theorem of Lucas states that $binom {mp+s}{np+t}equiv binom mnbinom st (operatorname {mod} p)$ if $m,n,s,t$ are nonnegative integers with $s,t<p$. In this paper we aim to prove a similar result for generalized binomial coefficients defined in terms of second order recurrent sequences with initial values $0$ and $1$." @default.
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- W1574397766 title "An extension of Lucas’ theorem" @default.
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- W1574397766 doi "https://doi.org/10.1090/s0002-9939-01-06234-7" @default.
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