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On Discriminator Problems Involving Powers Of5

Posted on:2014-02-24Degree:MasterType:Thesis
Country:ChinaCandidate:W LiFull Text:PDF
GTID:2250330395495353Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let f(x)∈[x]with f(1)<f(2)<f(3)<…. For any positive integer n, the discriminator Df(n) is the smallest positive integer m such that f(1),f(2),f(3),… f(n) are pairwise distinct modulo m. There are lots of research work on discriminator of poly-nomials. In this thesis, for f(x)=x(5x+2) we show that...
Keywords/Search Tags:Power of5, The discriminator, Remainder, Integral polynomial
PDF Full Text Request
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