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26行目: == 参考文献 == * {{~~cite~~citation ~~book~~\| first1=J. \| last1=Coates \|~~first1~~ authorlink1=Jジョン・コーツ \| first2=R. \| last2=Sujatha \|~~first2~~ authorlink2=R.ラムドライ・スジャータ \| title=Cyclotomic Fields and Zeta Values \| series=Springer Monographs in Mathematics \| publisher=[[Springer-Verlag]] \| year=2006 \|~~ref~~ isbn=~~harv~~3-540-33068-2 \| zbl=1100.11002 }} {{Citation \| last1=Greenberg \| first1=Ralph \| author1-link=ラルフ・グリーンバーグ \| editor1-last=Miyake \| editor1-first=Katsuya \| editor1-link=三宅克哉 \| title=Class field theory---its centenary and prospect (Tokyo, 1998) \| url=http://www.math.washington.edu/~greenber/iwhi.ps \| publisher=Math. Soc. Japan \| location=Tokyo \| series=Adv. Stud. Pure Math. \| isbn=978-4-931469-11-2 \| mr=1846466 \| year=2001 \| volume=30 \| chapter=Iwasawa theory---past and present \| pages=335–385 \| zbl=0998.11054 }} {{cite book\|last=Lang\|first=S.\|title=Cyclotomic Fields\|publisher=Springer-Verlag\|year=1978\|ref=harv}} {{Citation \| last1=Iwasawa \| first1=Kenkichi \| authorlink=岩澤健吉 \| title=On Γ-extensions of algebraic number fields \| doi=10.1090/S0002-9904-1959-10317-7 \| mr=0124316 \| year=1959 \| journal=Bulletin of the American Mathematical Society \| volume=65 \| issue=4 \| pages=183–226\| zbl=0089.02402 \| issn=0002-9904 }} {{cite book\|last=Washington\|first=L.\|title=Introduction to Cyclotomic Fields\|edition=2nd\|publisher=Springer-Verlag\|year=1997\|ref=harv}} {{Citation \| last1=Kato \| first1=Kazuya \| author1-link=加藤和也 \| editor1-last=Sanz-Solé \| editor1-first=Marta \| editor1-link=マルタ・サンス・ソーレ \| editor2-last=Soria \| editor2-first=Javier \| editor3-last=Varona \| editor3-first=Juan Luis \| editor4-last=Verdera \| editor4-first=Joan \| title=International Congress of Mathematicians. Vol. I \| url=http://www.icm2006.org/proceedings/Vol_I/18.pdf \| publisher=Eur. Math. Soc., Zürich \| isbn=978-3-03719-022-7 \| doi=10.4171/022-1/14 \| mr=2334196 \| year=2007 \| chapter=Iwasawa theory and generalizations \| pages=335–357}} {{cite journal\|first1=Barry\|last1=Mazur\|first2=Andrew\|last2=Wiles\|year=1984\|title=Class Fields of Abelian Extensions of Q\|journal=Inventiones Mathematicae\|volume=76\|issue=2\|pages=179-330\|ref=harv}} * {{Citation \| last1=Lang \| first1=Serge \| author1-link=サージ・ラング \| title=Cyclotomic fields I and II \| url=http://books.google.com/books?isbn=0-387-96671-4 \| publisher=[[Springer-Verlag]] \| location=Berlin, New York \| edition=Combined 2nd \| series=Graduate Texts in Mathematics \| isbn=978-0-387-96671-7 \| year=1990 \| volume=121 \| zbl=0704.11038 \| others=With an appendix by [[カール・ルービン\|Karl Rubin]] }} * {{cite journal\|first=Andrew\|last=Wiles\|year=1990\|title=The Iwasawa Conjecture for Totally Real Fields\|journal=Annals of Mathematics\|volume=131\|issue=3\|pages=493-540\|ref=harv}}▼ {{Citation \| last1=Mazur \| first1=Barry \| author1-link=バリー・メイザー \| last2=Wiles \| first2=Andrew \| author2-link=アンドリュー・ワイルズ \| title=Class fields of abelian extensions of '''Q''' \| doi=10.1007/BF01388599 \| mr=742853 \| year=1984 \| journal=Inventiones Mathematicae \| issn=0020-9910 \| volume=76 \| issue=2 \| pages=179–330 \| zbl=0545.12005 }} {{Citation\| last1=Neukirch \| first1=Jürgen\| last2=Schmidt \| first2=Alexander \| last3=Wingberg \| first3=Kay\| title=Cohomology of Number Fields \| chapter=\| publisher=[[Springer-Verlag]] \| location=Berlin\| series=''Grundlehren der Mathematischen Wissenschaften''\| volume=323 \| year=2008 \| page=\| isbn=978-3-540-37888-4 \|mr=2392026 \| zbl= 1136.11001 \| edition=2nd}} {{Citation \| last1=Rubin \| first1=Karl \| title=The ‘main conjectures’ of Iwasawa theory for imaginary quadratic fields \| doi=10.1007/BF01239508 \| year=1991 \| journal=Inventiones Mathematicae \| issn=0020-9910 \| volume=103 \| issue=1 \| pages=25–68 \| zbl=0737.11030 }} {{citation\| last=Skinner\| first=Chris\| last2=Urban\| first2=Éric\| title=The Iwasawa main conjectures for GL<sub>2</sub>\| year=2010\| url=http://www.math.columbia.edu/%7Eurban/eurp/MC.pdf\| page=219}} {{Citation \| last1=Washington \| first1=Lawrence C. \| title=Introduction to cyclotomic fields \| url=http://books.google.com/books?isbn=0-387-94762-0 \| publisher=Springer-Verlag \| location=Berlin, New York \| edition=2nd \| series=Graduate Texts in Mathematics \| isbn=978-0-387-94762-4 \| year=1997 \| volume=83}} ▲ {{~~cite~~Citation ~~journal~~\| last=Wiles \| first=Andrew \|~~last~~ author-link=~~Wiles~~アンドリュー・ワイルズ \| year = 1990 \| title = The Iwasawa Conjecture for Totally Real Fields \| journal = Annals of Mathematics \| volume = 131 \| issue = 3 \| pages =~~493-540~~ 493–540 \|~~ref~~ doi =~~harv~~ 10.2307/1971468 \| publisher = Annals of Mathematics \| zbl=0719.11071 }} == 関連文献 == {{Cite journal\|和書\|author=岩沢健吉\|year=1963\|month=10\|title=代数体と函数体とのある類似について\|journal=数学\|volume=15\|issue=2\|pages=65-67\|publisher=岩波書店\|url=http://id.ndl.go.jp/bib/9088363\|ref={{harvid\|岩沢\|1963}}}} {{Cite book\|和書\|author=[[落合理]]\|date=2014-09-10\|title=岩澤理論とその展望\|volume=（上）\|series=岩波数学叢書\|publisher=岩波書店\|isbn=978-4-00-029821-6\|url=http://www.iwanami.co.jp/.BOOKS/02/6/0298210.html\|ref={{Harvid\|落合\|2014}}}} {{Cite journal\|和書\|author=数学編集部\|year=1993\|month=10\|title=岩沢健吉先生のお話しを伺った120分\|journal=数学\|volume=45\|issue=4\|pages=366-372\|publisher=岩波書店\|url=http://id.ndl.go.jp/bib/3846973\|ref={{harvid\|数学編集部\|1993}}}} == 外部リンク == {{Springer\|title=Iwasawa theory\|id=i/i130090}} {{DEFAULTSORT:いわさわりろん}} [[Category:体論]]▼ [[Category:代数的整数論]]▼ [[Category:ゼータ関数とL関数]]▼ [[Category:数学に関する記事]] ▲[[Category:ゼータ関数とL関数]] ▲[[Category:代数的整数論]] ▲[[Category:体論]] <!--

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