资源描述：
《Riemann's_Zeta_Function [H.M._Edwards》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、Riemann’sZetuFunctionH.M.EdwardsNewYorkUniversityNewYork,NewYork@1974ACADEMICPRESSNewYorkSanFranciscoLondonASubsidiaryofHarcoiirtBraceJo,~anovicli,PiiblishersCOPYRIGHT1974,BYHaroldM.EdwardsALLRIGHTSRESERVED.NOPARTOFTHISPUBLICATIONMAYBEREPRODUCEDORTRANSMITTEDINANYFORMORBYANYMEANS,ELECTRONICORMECHAN
2、ICAL,INCLUDINGPHOTOCOPY.RECORDING,ORANYINFORMATIONSTORAGEANDRETRIEVALSYSTEM,WITHOUTPERMISSIONINWRITINGFROMTHEPUBLISHER.ACADEMICPRESS,INC.111FifthAvenue,NewYork,NewYork10003UnitedKingdomEditionpublishedbyACADEMICPRESS,INC.(LONDON)LTD.24/28OvalRoad.LondonNW1LibraryofCongressCataloginginPublicationDa
3、taAMSWOS)1970SubjectClassifications:10-02,lO-03,10H05,lOHlSEdwards,HaroldMRiemann’szetafunction.(Pureandappliedmathematics;aseriesofmonographsandtextbooks)1.Numbers,Theoryof.2.Functions,Zeta.I.Title.11.Series.QA3P8[QA241]510’.8s[512’.73]73-794ISBN0-12-232750-0PRINTEDINTHEUNlTEnSTATE3OFAMERICA80818
4、29876543PrefaceMyprimaryobjectiveinthisbookistomakeapoint,notaboutanalyticnumbertheory,butaboutthewayinwhichmathematicsisandoughttobestudied.Brieflyput,Ihavetriedtosaytostudentsofmathematicsthattheyshouldreadtheclassicsandbewareofsecondarysources.ThisisapointwhichEricTempleBellmakesrepeatedlyinhis
5、biographiesofgreatmathematiciansinMenofMathematics.Incaseaftercase,Bellpointsoutthatthemenofwhomhewriteslearnedtheirmathe-maticsnotbystudyinginschoolorbyreadingtextbooks,butbygoingstraighttothesourcesandreadingthebestworksofthemasterswhoprecededthem.Itisapointwhichinmostfieldsofscholarshipatmostti
6、mesinhistorywouldhavegonewithoutsaying.NomathematicalworkismoreclearlyaclassicthanRiemann’smemoirUeberdieAnzahlderPrimzahlenuntereinergegebenenGrosse,publishedin1859.MuchoftheworkofmanyofthegreatmathematicianssinceRiemann-menlikeHadamard,vonMangoldt,delaVallCePoussin,Landau,Hardy,Littlewood,Siegel
7、,Polya,Jensen,Lindelof,Bohr,Selberg,Artin,Hecke,tonamejustafewofthemostimportant-hasstemmeddirectlyfromtheideascontainedinthiseight-pagepaper.Accordingtolegend,thepersonwhoacquiredthecopyofRiemann’scollectedworks
