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1、HandbookofNumberTheoryIbyJózsefSándorBabes-BolyaiUniversityofCluj,Cluj-Napoca,RomaniaDragoslavS.MitrinovićformerlyoftheUniversityofBelgrade,ServiaandBorislavCrsticiformerlyoftheTechnicalUniversityofTimisoara,RomaniaAC.I.P.CataloguerecordforthisbookisavailablefromtheLibraryofCongress
2、.ISBN-101-4020-4215-9(HB)ISBN-13978-1-4020-4215-7(HB)ISBN-101-4020-3658-2(e-book)ISBN-13978-1-4020-3658-3(e-book)PublishedbySpringer,P.O.Box17,3300AADordrecht,TheNetherlands.www.springeronline.comPrintedonacid-freepaper1sted.1995.2ndprintingAllRightsReserved©2006SpringerNopartofthis
3、workmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,microfilming,recordingorotherwise,withoutwrittenpermissionfromthePublisher,withtheexceptionofanymaterialsuppliedspecificallyforthepurposeofbeingenteredandexecutedonacom
4、putersystem,forexclusiveusebythepurchaserofthework.PrintedintheNetherlands.TABLEOFCONTENTSPREFACE.......................................................................................xxvBASICSYMBOLS............................................................................1BASICNO
5、TATIONS..........................................................................2ChapterIEULER’Sϕ-FUNCTION.....................................................................9§I.1Elementaryinequalitiesfor..............................................9§I.2Inequalitiesfor(mn).....
6、..................................................9§I.3Relationsconnecting,,d...............................................10§I.4InequalitiesforJk,k,k...................................................11§I.5UnitaryanaloguesofJk,k,d.............................................1
7、2§I.6Compositionof,,.....................................................13§I.7Compositionof,.........................................................13§I.8Onthefunctionn/(n)......................................................14§I.9Minimumof(n)/nforconsecutivevaluesofn.....
8、..................1
