p-primary parts of unit traces and the p-adic regulator

G. R. Everest

Acta Arithmetica (1992)

  • Volume: 62, Issue: 1, page 11-23
  • ISSN: 0065-1036

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G. R. Everest. "p-primary parts of unit traces and the p-adic regulator." Acta Arithmetica 62.1 (1992): 11-23. <http://eudml.org/doc/206476>.

@article{G1992,
author = {G. R. Everest},
journal = {Acta Arithmetica},
keywords = {trace values; units; norm-form equation; p-primary parts; Leopoldt's p-adic regulator; p-adic subspace theorem; S-units; Hardy-Littlewood method},
language = {eng},
number = {1},
pages = {11-23},
title = {p-primary parts of unit traces and the p-adic regulator},
url = {http://eudml.org/doc/206476},
volume = {62},
year = {1992},
}

TY - JOUR
AU - G. R. Everest
TI - p-primary parts of unit traces and the p-adic regulator
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 1
SP - 11
EP - 23
LA - eng
KW - trace values; units; norm-form equation; p-primary parts; Leopoldt's p-adic regulator; p-adic subspace theorem; S-units; Hardy-Littlewood method
UR - http://eudml.org/doc/206476
ER -

References

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  1. [1] G. R. Everest, Uniform distribution and lattice point counting, J. Austral. Math. Soc., to appear. Zbl0765.11028
  2. [2] G. R. Everest, On the solution of the norm-form equation, Amer. J. Math., to appear. Zbl0770.11017
  3. [3] J.-H. Evertse, On sums of S-units and linear recurrences, Compositio Math. 53 (1984), 225-244. Zbl0547.10008
  4. [4] K. Győry and A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen, III, Acta Arith. 37 (1980), 143-165. Zbl0387.10010
  5. [5] N. Koblitz, p-Adic Analysis: A Short Course on Recent Work, London Math. Soc. Lecture Note Ser. 46, Cambridge Univ. Press, 1980. Zbl0439.12011
  6. [6] S. Lang, Algebraic Number Theory, Addison-Wesley, New York 1970. Zbl0211.38404
  7. [7] H. W. Leopoldt, Eine p-adische Theorie der Zetawerte II, J. Reine Agnew. Math. 274/275 (1975), 224-239. 

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