solved and unsolved problems in number theory - daniel shanks

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1、CONTENTSPAGEPREFACE.......................................ChapterIFROMPERFECTKGXIBERSTOTHEQUADRATICRECIPROCITYLAWSECTION1.PerfectXumbcrs..........................................12.Euclid..........................................43.Euler’sConversePr...............................8SECON

2、DEDITION4.Euclid’sAlgorithm......................................85.CataldiandOthers.....................................126.ThePrimeKumberTheorem..............................15Copyright0.1962.byDanielShanks7.TwoUsefulTheorems......................................17Copyright0.1978.byD

3、anielShanks8.Fermat.and0t.hcrs........................................199.Euler’sGeneralizationPromd...............................2310.PerfectKunibers,I1.......................................2511.Euleranddial..........................................25LibraryofCongressCataloginginPub

4、licationData12.ManyConjecturesandtheirInterrelations....................29Shanks.Daniel.13.SplittingtshePrimesintoEquinumerousClasses...............31Solvedandunsolvedproblemsinnumbertheory.14.Euler’sCriterionFormulated.............................3315.Euler’sCriterionProved...........

5、.........................35Bibliography:p.16.Wilson’sTheorem.........................................37Includesindex.1.Numbers.Theoryof.I.Title.17.Gauss’sCriterion...................................38[QA241.S44197815E.777-1301018.TheOriginalLcgendreSymbol.......................40ISBN0-

6、8284-0297-319.TheReciprocityLaw...............................4220.ThePrimeDivisorsofn2+a........................47ChapterI1Printedon‘long-life’acid-freepaperTHECSDERLTISGSTRUCTURE21.TheItesidueClassesasanInvention.........................51PrintedintheUnitedStatesofAmerica22.TheResidu

7、eClasses3saTool..............................5523.TheResidueClasscsasnGroup.............................5924.QuadraticResidues.......................................63VviSolvedandUnsolvedProblemsinNumberTheoryContentsviiSECTIONPAGESECTIONPAGE25.IstheQuadraticRecipro&yLawaIlerpThcoren