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- W2052982364 abstract "We prove that if the signed binomial coefficient ( - 1 ) i k i viewed modulo p is a periodic function of i with period h in the range 0 ⩽ i ⩽ k , then k + 1 is a power of p , provided h is not too large compared to k . (In particular, 2 h ⩽ k suffices). As an application, we prove that if G and H are multiplicative subgroups of a finite field, with H < G , and such that 1 - α ∈ G for all α ∈ G ⧹ H , then G ∪ { 0 } is a subfield." @default.
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- W2052982364 date "2006-04-01" @default.
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- W2052982364 title "Modular periodicity of binomial coefficients" @default.
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- W2052982364 doi "https://doi.org/10.1016/j.jnt.2005.07.005" @default.
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