【摘要】WeobtainformulacandestimatesforcharactersumsofthetypeS(x,f,p^m)=∑x=1^p^mx(f(f)),wherep^misaprimepowerwithm≥2,xisamultiplicativecharacter(modp^m),andf=f1/f2isarationalfunctionoverZ.Inparticular,ifpisodd,d=deg(f1)+deg(f2)andd^*=max(deg(f1),deg(f2))thenweobtain|S(x,f,p^m)|≤(d-1)p^m(1-1/d^*)foranyno
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