「岩澤理論」の版間の差分

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== 参考文献 ==
* {{citecitation 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=harv3-540-33068-2 | 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}}
* {{citeCitation 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}}
 
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[[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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