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1、SurlesFonctionsAbéliennesAuthor(s):H.PoincaréSource:AmericanJournalofMathematics,Vol.8,No.4(Aug.,1886),pp.289-342Publishedby:TheJohnsHopkinsUniversityPressStableURL:http://www.jstor.org/stable/2369391Accessed:25/07/200910:05YouruseoftheJSTORarchiveindicatesyouracceptanc
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5、atformthatpromotesthediscoveryanduseoftheseresources.FormoreinformationaboutJSTOR,pleasecontactsupport@jstor.org.TheJohnsHopkinsUniversityPressiscollaboratingwithJSTORtodigitize,preserveandextendaccesstoAmericanJournalofMathematics.http://www.jstor.orgSurlesIbnwtionsAbe
6、"iennes.PARH.POINCAREB.?1.R6ductiondesInt6grales.J'aidonnedansleBulletindelaSocieteMathematiquedeFrance(tome12,page124)unedemonstrationetunegeneralisationdedeuxtheoremesdeM.Weierstrass.Jeveuxd'abordrappelericisuccinctement,enyajoutantquelquescomplements,cequ'ilyad'essen
7、tieldanscettedeemonstration.SoientJ1,J2,.,J,pintegralesabeliennesderangp.Soitx12xp;xf,x2.xP,unsystemedeperiodesnormalesdeJ1;Yl,Y27..*YP;YlY2,..yplesperiodescorrespondantesdeJ2;ti,t21.t..tipItpti2lesperiodescorrespondantesdeJ,;etenfin1,U2.,up;U'2upcellesdeJp.Detellefagon
8、quelonait:Xiy-xyi+X2y2-XY2+*..i+pyp-xpypyOetet1)-1autresrelationsdemAmeforme.2eImaginonsmaintenantquel'onpuiss