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1、NealKoblitzp-adicNumbers,p-adicAnalysis,andZeta-FunctionsSecondEditionSpringer-VerlagNewYookllerilnHaidellergT~GraduateTextsinMathematics58EditorialBoardF.W.GehringP.R.Halmos(ManagingEditor)C.C.MooreArtist'sconceptionofthe3-adicunitdisk.DrawingbyA.T.
2、FomenkoofMoscowStateUniversity,Moscow,U.S.S.R.NealKoblitzp-adicNumbers,p-adicAnalysis,andZeta-FunctionsSecondEditionSpringer-VerlagNewYorkBerlinHeidelbergTokyoNealKoblitzDepartmentofMftthernaticsGN-50UniversityofWasltingtonSeattle,WA98195USAEditorial
3、BoardP.R.HalmosF.W.GehringC.C.MooreManagingEditorDepartmentofMathematicsDepartmentofMathematicsDepartmentofMathematicsUniversityofMichiganUniversityofCaliforniaIndianaUniversityAnnArbor,Michigan48109atBerkeleyBloomington,Indiana47405USABerkeley,Calif
4、ornia94720USAUSAAMSSubjectClassifications:10-01,12-01,12B30LibraryofCongressCataloginginPublicationDataKoblitz,Neal,1948-P-adicnumbers,p-adicanalysisandzeta-functions.(Graduatetextsinmathematics;58)Bibliography:p.Includesindex.l.p-adicnumbers.2.p-adi
5、canalysis.3.Functions,Zeta.I.Title.II.Series.QA24l.K6741984512'.7484-5503Allrightsreserved.NopartofthisbookmaybetranslatedorreproducedinanyformwithoutwrittenpermissionfromSpringer-Verlag,175FifthAvenue,NewYork,NewYork10010,USA.(()1977,1984bySpringer-
6、VerlagNewYork,Inc.PrintedintheUnitedStatesofAmerica.TypesetbyCompositionHouseLtd.,Salisbury,England.PrintedandboundbyR.R.Donnelley&Sons,Harrisonburg,Virginia.98765432IISBN0-387-96017-1Springer-VerlagNewYorkBerlinHeidelbergTokyoISBN3-540-96017-1Spring
7、er-VerlagBerlinHeidelbergNewYorkTokyoToProfessorMarkKacPrefacetothesecondeditionThemostimportantrevisionsinthiseditionare:(1)enlargementofthetreatmentofp-adicfunctionsinChapterIVtoincludetheIwasawalogarithmandthep-adicgamma-function,(2)rearrangementa
8、ndadditionofsomeexercises,(3)inclusionofanextensiveappendixofanswersandhintstotheexercises,theabsenceofwhichfromthefirsteditionwasapparentlyasourceofconsiderablefrustrationformanyreaders,and(4)numerouscorrectionsandclarifications,mostofwhichwerepropo