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On the composition of the group of ideal classes in a properly irregular cyclotomic field

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Literatur

  1. Furtwängler, Göttinger Nachrichten, Math.-Physik. Kl., 1910, 482–88.

  2. Pollaczek, math. Zeitschrift.21, 1924, p. 22.

    Google Scholar 

  3. Proceedings National Acad. Sci.15, 1922, p. 206–1.

  4. Furtwängler, Math. Annalen,63, 1906, p. 18.

    Google Scholar 

  5. Pollaczek, l. c., p. 11; Morishima, Japanese Journal of Math.10, 1933, p. 105.

    Google Scholar 

  6. Pollaczek, l. c., p. 22; Morishima, l. c. Japanese Journal of Math.10, 1933, p. 113

    Google Scholar 

  7. Vandiver, Bull. Amer. Math. Soc.25, 458–61.

  8. Frobenius, Sitzungsberichte K. P. Acad. Wiss., Berlin, 1910, p. 842, relation (4), and remarks following.

  9. Vandiver, Proc. National Acad. Sciences,16, 1930, p. 743.

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  10. Pollaczek, l. c., p. 26.

    Google Scholar 

  11. Morishima, l. c. p. 116.

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  12. Vandiver, Annals Math.,31, 1930, p. 124–125.

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  13. Pollaczek, l. c., p. 30. In lieu of much of the above we may employ power characters in somewhat the same way he does.

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  14. This follows also from Theorem IX of Pollaczek, l. c., p. 26.

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  15. Duke Math. Journal 3, 1937, p. 581, theorem 3. and note on p. 584, the proof for the 2-nd factor of the class number ofK (ζ) forl=587 being included in the proof that Fermat's Last Theorem holds for that exponent.

  16. L. c., Duke Math. Journal 3, 1937, p. 117–118, Satz B and remarks following.

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Vandiver, H.S. On the composition of the group of ideal classes in a properly irregular cyclotomic field. Monatsh. f. Mathematik und Physik 48, 369–380 (1939). https://doi.org/10.1007/BF01696192

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  • DOI: https://doi.org/10.1007/BF01696192

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