资源描述：
《Analytic Number Theory Newman》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、GraduateTextsinMathematics177EditorialBoardS.AxlerF.W.GehringK.A.RibetSpringerNewYorkBerlinHeidelbergBarcelonaHongKongLondonMilanParisSingaporeTokyoDonaldJ.NewmanAnalyticNumberTheory13DonaldJ.NewmanProfessorEmeritusTempleUniversityPhiladelphia,PA19122USAEditorialBoardS.AxlerF.W.GehringK.A.RibetDep
2、artmentofDepartmentofDepartmentofMathematicsMathematicsMathematicsSanFranciscoStateUniversityUniversityofMichiganUniversityofCaliforniaSanFrancisco,CA94132AnnArbor,MI48109atBerkeleyUSAUSABerkeley,CA94720-3840USAMathematicsSubjectClassification(1991):11-01,11N13,11P05,11P83LibraryofCongressCatalogin
3、g-in-PublicationDataNewman,DonaldJ.,1930–Analyticnumbertheory/DonaldJ.Newman.p.cm.–(Graduatetextsinmathematics;177)Includesindex.ISBN0-387-98308-2(hardcover:alk.paper)1.NumberTheory.I.Title.II.Series.QA241.N481997512’.73–dc2197-26431©1998Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotb
4、etranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftw
5、are,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseofgeneraldescriptivenames,tradenames,trademarks,etc.,inthispublication,eveniftheformerarenotespeciallyidentified,isnottobetakenasasignthatsuchnames,asunderstoodbytheTradeMarksandMerchandiseMarksAct,mayaccordinglybeu
6、sedfreelybyanyone.ISBN0-387-98308-2Springer-VerlagNewYorkBerlinHeidelburgSPIN10763456ContentsIntroductionandDedicationviiI.TheIdeaofAnalyticNumberTheory1AdditionProblems1ChangeMaking2CrazyDice5Canr(n)be“constant?”8ASplittingProblem8AnIdentityofEuler’s11MarksonaRuler12DissectionintoArithmeticProgre
7、ssions14II.ThePartitionFunction17TheGeneratingFunction18TheApproximation19RiemannSums20TheCoefficientsofq(n)25III.TheErdos–FuchsTheorem˝31Erdos–FuchsTheorem˝35IV.SequenceswithoutArithmeticProgressions41TheBasicApp
