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1、SpringerMonographsinMathematicsToshitsuneMiyakeModularFormsWith11FiguresSpringerToshitsuneMiyakeHokkaidoUniversityDepartmentofMathematics060-0810Sapporo,Japane-mflz7;miyake@math.sci.hokudai.ac.jpTranslatorYoshitakaMaedaHokkaidoUniversityDepartmentofMathematics060-0810Sapporo,Japane-mflz7:maeda@
2、math.sci.hokudai.ac.jpThefirstEnglisheditionwaspublishedasamonographin1989bySpringer-Verlag(ISBN3-540-50268-8).TitleoftheoriginalJapaneseedition:"Hokeikeishikitoseisuron"©KinokuniyaCompanyLtd.,Tokyo,1976.LibraryofCongressControlNumber:2005936235MathematicsSubjectClassification(2000):11F03,11F06
3、,iiFii,11F12,11F27,11F30,11F66,11G05,11M06,11R42,11R52,11R56ISSN1439-7382ISBN-103-540-29592-5SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-29592-1SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytheright
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5、ysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronline.com©Springer-VerlagBerlinHeidelberg1989,2006PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotim
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7、-543210PrefaceModularformsplayanessentialroleinNumberTheory.FurthermoretheimportanceofmodularformshascontinuedtogrowinmanyareasofmathematicsincludingtheinfinitedimensionalrepresentationtheoryofLiegroupsandfinitegrouptheory.Theaimo
