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1、Ramanujan’sNotebooksPartIIBustofRatnanujanbyPaulGranlundBruceC.BerndtRLamanujan’sNotebooksPartIISpringer-VerlagNewYorkBerlinHeidelbergLondonParisTokyoBruceC.BerndtDepartmentofMathematicsUniversityofIllinoisUrbana,IL61801USAThefollowingjournalshavepubli
2、shedearlierversionsofchaptersinthisbook:LEnseignementMathématique26(1980),l-65.JournaloftheIndianMathematicalSociety46(1982),31-16.BulletinLondonMathematicalSociety15(1983),273-320.ExpositionesMarhematicae2(1984)289-347.JournalfurdiereineundangewandteM
3、athematik361(1985),118-134.RockyMountainJournalofMathematics15(1985),235-310.ActaArithmetica47(1986)123-142.MathematicsSubjectClassification(1980):1l-03,1lP99LibraryofCongressCataloging-in-PublicationData(Revisedforvolume2)RamanujanAiyangar,Srinivasa,1
4、887-1920.Ramanujan’snotebooks.Includesbibliographiesandindex.1.Mathematics.1.Berndt.BruceC.,1939-11.Title.QA3.R33198551084-20201Printedonacid-freepaper.01989bySpringer-VerlagNewYorkInc.Al1rightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpart
5、withoutthewrittenpermissionofthepublisher(Springer-Verlag,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftw
6、are,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseofgeneraldescriptivenames,tradenames,trademarks,etc.inthispublication,eveniftheformerarenotespeciallyidentifïed,isnottobetakenasasignthatsuchnames,asunderstoodbytheTrad
7、eMarksandMerchandiseMarksAct,mayaccordinglybeusedfreelybyanyone.TypesetbyAscoTradeTypesettingLtd.,HongKong.PrintedandboundbyR.R.DonnelleyandSons,Harrisonburg,Virginia.PrintedintheUnitedStatesofAmerica.987654321ISBNO-387-96794-XSpringer-VerlagNewYorkBer
8、linHeidelbergISBN3-540-96794-XSpringer-VerlagBerlinHeidelbergNewYorkDedicatedtomymotherHelenandthememoryofmyfatherHarveyTherelationbetweenHardyandRamanujanisunparalleledinscientifichistory.Eachhadenormousrespectfortheabilitiesoftheother
