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On the Stickelberger ideal and the circular units of an abelian field

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References

  • [G] Gillard, R.: Remarques sur les Unités Cyclotomiques et les Unités Elliptiques. J. Number Theory11, 21–48 (1979)

    Google Scholar 

  • [H] Hasse, H.: Über die Klassenzahl abelscher Zahlkörper. Berlin: Akademie-Verlag 1952

    Google Scholar 

  • [I] Iwasawa, K.: A class number formula for cyclotomic fields. Ann. of Math.76, 171–179 (1962)

    Google Scholar 

  • [K] Kummer, E.E.: Mémoire sur la théorie des nombres complexes composés de racines de l'unité et de nombres entiers. Collected Papers I. Berlin-Heidelberg-New York: Springer-Verlag 1975

    Google Scholar 

  • [L] Leopoldt, H.W.: Über Einheitengruppe und Klassenzahl reeller abelscher Zahlkörper. Abh. Deutsche Akad. Wiss. Berlin, math.-nat. Klasse 1953, No. 2 (1954)

  • [La] Lang, S.: Cyclotomic Fields. Berlin: Springer-Verlag 1978

    Google Scholar 

  • [Sch] Schmidt C.-G.: Größencharaktere und Relativklassenzahl abelscher Zahlkörper. J. Number Theory11, 128–159 (1979)

    Google Scholar 

  • [S] Sinnott, W.: On the Stickelberger ideal and the circular units of a cyclotomic field. Ann. of Math.108, 107–134 (1978)

    Google Scholar 

  • [W] Weil, A.: Sommes de Jacobi et caractères de Hecke, Nachrichten der Akad. Göttingen 1–14, 1974

  • [WW] Whittaker, E.T., Watson, G.N.: A Course of Modern Analysis. Cambridge Univ. Press, 1962

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Supported by a grant from the Sloan Foundation, and Visitor at I.H.E.S. Some of this work was also supported by NSF grants

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Sinnott, W. On the Stickelberger ideal and the circular units of an abelian field. Invent Math 62, 181–234 (1980). https://doi.org/10.1007/BF01389158

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