Fermat quotient of cyclotomic units

Tsutomu Shimada

Acta Arithmetica (1996)

  • Volume: 76, Issue: 4, page 335-358
  • ISSN: 0065-1036

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Tsutomu Shimada. "Fermat quotient of cyclotomic units." Acta Arithmetica 76.4 (1996): 335-358. <http://eudml.org/doc/206903>.

@article{TsutomuShimada1996,
author = {Tsutomu Shimada},
journal = {Acta Arithmetica},
keywords = {cyclotomic field; Fermat quotients; principal units; dimension},
language = {eng},
number = {4},
pages = {335-358},
title = {Fermat quotient of cyclotomic units},
url = {http://eudml.org/doc/206903},
volume = {76},
year = {1996},
}

TY - JOUR
AU - Tsutomu Shimada
TI - Fermat quotient of cyclotomic units
JO - Acta Arithmetica
PY - 1996
VL - 76
IS - 4
SP - 335
EP - 358
LA - eng
KW - cyclotomic field; Fermat quotients; principal units; dimension
UR - http://eudml.org/doc/206903
ER -

References

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  1. [1] L. Carlitz, A generalization of Maillet's determinant and a bound for the first factor of the class number, Proc. Amer. Math. Soc. 12 (1961), 256-261. Zbl0131.03602
  2. [2] H. W. Leopoldt, Über Fermatquotienten von Kreiseinheiten und Klassenzahlformeln modulo p, Rend. Circ. Mat. Palermo (2) 9 (1960), 39-50. 
  3. [3] C. Levesque, ℤ p -independent systems of units, Proc. Japan Acad. Ser. A 68 (1992), 239-241. 
  4. [4] J. W. Sands, Kummer's and Iwasawa's version of Leopoldt's conjecture, Canad. Math. Bull. 31 (1988), 338-346. Zbl0614.12002
  5. [5] K. Tateyama, Maillet's determinant, Sci. Papers College Gen. Edu. Univ. Tokyo 32 (1982), 97-100. Zbl0508.12006
  6. [6] L. C. Washington, Introduction to Cyclotomic Fields, Springer, New York, 1982 Zbl0484.12001

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