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PDF-THEGAUSSIANINTEGERSKEITHCONRADSincetheworkofGauss,numbertheoristshaveb PDF document

abiabia2b2ForexampleN27i227253Form2ZNmm2InparticularN11Thinkingaboutabiasacomplexnumberitsnormisthesquareofitsusualabsolutevaluejabijp a2b2Nabia2b2jabij2The

=(a+bi)(abi)=a2+b2:Forexample N(2+7i)=22+72=53.Form2Z N(m)=m2.Inparticular N(1)=1.Thinkingabouta+biasacomplexnumber itsnormisthesquareofitsusualabsolutevalue:ja+bij=p a2+b2;N(a+bi)=a2+b2=ja+bij2:The

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