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b(Jahre)h(1873)e(b)s(ewies)j(C.)f(Hermite)e(die)i(T)-8 b(ranszendenz)44 b(v)m(on)e Fg(e)p Fh(;)g(im)e(Jahre)568 1727 y(1882)d(b)s(ewies)i(F.)f(Lindemann)g(die)g(T)-8 b(ranszendenz)41 b(v)m(on)e Fg(\031)t Fh(.)g(Zeigen)f(Sie)g(un)m(ter) 568 1848 y(V)-8 b(erw)m(endung)31 b(dieser)e(Resultate,)g(da\031)g Fg(e)15 b Fh(+)g Fg(\031)34 b Fh(und)c Fg(e\031)j Fh(nic)m(h)m(t)c(b)s (eide)g(algebraisc)m(h)570 1972 y(\177)568 1968 y(ub)s(er)h Ff(Q)48 b Fh(sein)30 b(k)1142 1972 y(\177)1142 1968 y(onnen.)h(\(Hin)m (w)m(eis:)g(Es)g(ist)e(v)m(on)i(b)s(eiden)f(Zahlen)f(nic)m(h)m(t)i(b)s (ek)-5 b(ann)m(t,)568 2089 y(ob)32 b(sie)h(algebraisc)m(h)e(o)s(der)i (transzenden)m(t)i(sind.\))1054 b(\(3\))394 2291 y(18.)49 b(Zeigen)32 b(Sie:)g(Die)f(P)m(olynome)615 2509 y Fg(x)670 2468 y Fe(4)732 2509 y Fh(+)22 b Fg(x)h Fh(+)f(1)27 b Fd(2)h Ff(F)1231 2524 y Fe(2)1277 2509 y Fh([)p Fg(x)p Fh(])p Fg(;)114 b(x)1582 2468 y Fe(5)1645 2509 y Fh(+)22 b Fg(x)1798 2468 y Fe(3)1860 2509 y Fh(+)g(1)27 b Fd(2)h Ff(F)2183 2524 y Fe(2)2228 2509 y Fh([)p Fg(x)p Fh(])p Fg(;)115 b(x)2534 2468 y Fe(4)2596 2509 y Fh(+)22 b(2)p Fg(x)2798 2468 y Fe(3)2860 2509 y Fh(+)g Fg(x)h Fh(+)f(1)27 b Fd(2)h Ff(F)3359 2524 y Fe(3)3405 2509 y Fh([)p Fg(x)p Fh(])568 2727 y(sind)k(irreduzib)s(el.)2182 b(\(3\))394 2929 y(19.)49 b(Betrac)m(h)m(ten)f(Sie)f(die)f(zyklisc)m(he)i(Grupp)s (e)f Ff(Z)2285 2944 y Fc(p)2323 2929 y Fh(,)g(w)m(ob)s(ei)f Fg(p)h Fh(eine)g(Primzahl)e(ist.)568 3050 y(Zeigen)31 b(Sie,)h(da\031)g(die)g(Grupp)s(e)g Fg(G)g Fh(aller)f(Automorphismen)g (v)m(on)i Ff(Z)3102 3065 y Fc(p)3171 3050 y Fh(isomorph)568 3170 y(zur)41 b(m)m(ultiplik)-5 b(ativ)m(en)38 b(Grupp)s(e)j Ff(F)1844 3134 y Fb(\002)1844 3195 y Fc(p)1951 3170 y Fh(der)g(v)m(on)h(Null)e(v)m(ersc)m(hiedenen)k(Elemen)m(te)568 3290 y(des)33 b(K)812 3294 y(\177)812 3290 y(orp)s(ers)g Ff(F)1163 3305 y Fc(p)1241 3290 y Fh(ist.)2065 b(\(4\))394 3493 y(20.)90 b(\(a\))48 b(F)849 3497 y(\177)846 3493 y(ur)33 b(die)f(Elemen)m(te)984 3769 y Fg(a)c Fh(=)1166 3628 y 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