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wehaverPj=1aj=G(1)>1andconsequentlyu01ofmaximalmodulus.Set 4u!1G(u)=1thereuniquelyexistsu0>0withG(u0)=1.SinceGnisstrictlyincreasing MICHAELDRMOTAANDJOHANNESGAJDOSIK<br />
Furthermore,ifjuj=u0butu6=u0thenthegcd-conditiongcdfi1:ai6=0g=1impliesthat Thus,=1=u0>1isasimplerootofP(u). Consequently,therearenorootsofP(u)otherthanwithmodulus. Ifjuj
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