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

Acta Arithmetica (1992)

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

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top## How to cite

topG. 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

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

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