椭圆曲线的算术理论

作者J.H.SilvermanH.Silverman
出版社
出版时间1999-11-01

特色:

Theprefacetoatextbookfrequentlycontainstheauthor'sjustificationforofferingthepublic"anotherbook"onthegivensubject.Forourchosentopic,thearithmeticofellipticcurves,thereislittleneedforsuchanapologia.Consideringthevastamountofresearchcurrentlybeingdoneinthisarea,thepaucityofintroductorytextsissomewhatsurprising.PartsofthetheoryarecontainedinvariousbooksofLang(especially[La3]and[La5]);andtherearebooksofKoblitz([Ko])andRobert([Rob],nowoutofprint)whichconcentratemostlyontheanalyticandmodulartheory.Inaddition,surveyarticleshavebeenwrittenbyCassels([Ca7],reallyashortbook)andTate([Ta5].whichisbeautifullywritten,butincludesnoproofs).Thustheauthorhopesthatthisvolumewillfillarealneed,bothfortheseriousstudentwhowishestolearnthebasicfactsaboutthearithmeticofellipticcurves;andfortheresearchmathematicianwhoneedsareferencesourceforthosesamebasicfacts.

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