[数论手册第1卷]Handbook Of Number Theory 1 .pdf

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1、HandbookofNumberTheoryIbyJózsefSándorBabes-BolyaiUniversityofCluj,Cluj-Napoca,RomaniaDragoslavS.MitrinovićformerlyoftheUniversityofBelgrade,ServiaandBorislavCrsticiformerlyoftheTechnicalUniversityofTimisoara,RomaniaAC.I.P.Cataloguerecordforthisbookisavailablefromthe

2、LibraryofCongress.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.1995.2ndprintingAllRight

3、sReserved©2006SpringerNopartofthisworkmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,microfilming,recordingorotherwise,withoutwrittenpermissionfromthePublisher,withtheexceptionofanymaterialsuppliedspeci

4、ficallyforthepurposeofbeingenteredandexecutedonacomputersystem,forexclusiveusebythepurchaserofthework.PrintedintheNetherlands.TABLEOFCONTENTSPREFACE.......................................................................................xxvBASICSYMBOLS................

5、............................................................1BASICNOTATIONS..........................................................................2ChapterIEULER’Sϕ-FUNCTION.....................................................................9§I.1Elementaryinequal

6、itiesfor
..............................................9§I.2Inequalitiesfor
(mn).......................................................9§I.3Relationsconnecting
,,d...............................................10§I.4InequalitiesforJk,k,k..........................

7、.........................11§I.5UnitaryanaloguesofJk,k,d.............................................12§I.6Compositionof
,,.....................................................13§I.7Compositionof,
.........................................................13§I.8Ont

8、hefunctionn/
(n)......................................................14§I.9Minimumof
(n)/nforconsecutivevaluesofn.......................1