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References

  1. R. Coleman, Division values in local fields.Inv. Math.53 (1979), 91–116.

    Article  MATH  Google Scholar 

  2. —, Local units modulo circular units.Proc. A.M.S.89 (1983), 1–7.

    Article  MATH  Google Scholar 

  3. R. Gillard, Unités cyclotomiqués, unités semi-locales et ℤ l -extensions II.Ann. Inst. Fourier.29 (1979), 1–15.

    MATH  MathSciNet  Google Scholar 

  4. H. Ichimura, On a relative normal integral basis problem over abelian number fields.Proc. Japan. Acad.69 (1993), 413–417.

    Article  MATH  MathSciNet  Google Scholar 

  5. —, Onp-adicL-functions and normal bases of rings of integers.J. reine angew. Math.462 (1995), 169–184.

    MATH  MathSciNet  Google Scholar 

  6. ---, On a normal integral basis problem over cyclotomic ℤp-extensions.J. Math. Soc. Japan, to appear.

  7. Y. Ihara, M. Kaneko andA. Yukinari, On some properties of the universal power series for Jacobi sums.Adv. St. in Pure Math.12 (1987), 65–86.

    MathSciNet  Google Scholar 

  8. K. Iwasawa, On some modules in the theory of cyclotomic fields.J. Math. Soc. Japan16 (1964), 42–82.

    Article  MATH  MathSciNet  Google Scholar 

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Ichimura, H. On some congruences for units of localp-cyclotomic fields. Abh.Math.Semin.Univ.Hambg. 66, 273–279 (1996). https://doi.org/10.1007/BF02940809

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