# p-adic logarithmic forms and group varieties II

Acta Arithmetica (1999)

- Volume: 89, Issue: 4, page 337-378
- ISSN: 0065-1036

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topKunrui Yu. "p-adic logarithmic forms and group varieties II." Acta Arithmetica 89.4 (1999): 337-378. <http://eudml.org/doc/207276>.

@article{KunruiYu1999,

author = {Kunrui Yu},

journal = {Acta Arithmetica},

keywords = {p-adic logarithmic form; group variety; prime ideal; ring of integers; logarithmic height; ramification index; residue class degree; -adic logarithmic forms},

language = {eng},

number = {4},

pages = {337-378},

title = {p-adic logarithmic forms and group varieties II},

url = {http://eudml.org/doc/207276},

volume = {89},

year = {1999},

}

TY - JOUR

AU - Kunrui Yu

TI - p-adic logarithmic forms and group varieties II

JO - Acta Arithmetica

PY - 1999

VL - 89

IS - 4

SP - 337

EP - 378

LA - eng

KW - p-adic logarithmic form; group variety; prime ideal; ring of integers; logarithmic height; ramification index; residue class degree; -adic logarithmic forms

UR - http://eudml.org/doc/207276

ER -

## References

top- [1] A. Baker and G. Wüstholz, Logarithmic forms and group varieties, J. Reine Angew. Math. 442 (1993), 19-62. Zbl0788.11026
- [2] E. Bombieri and J. Vaaler, On Siegel's lemma, Invent. Math. 73 (1983), 11-32; Addendum, ibid. 75 (1984), 377. Zbl0533.10030
- [3] A. Fröhlich and M. J. Taylor, Algebraic Number Theory, Cambridge Univ. Press, 1991. Zbl0744.11001
- [4] H. Hasse, Number Theory, Springer, Berlin, 1980.
- [5] E. M. Matveev, Elimination of the multiple n! from estimates for linear forms in logarithms, Tagungsbericht 11/1996, Diophantine Approximations, 17.03-23.03, 1996, Oberwolfach.
- [6] E. M. Matveev, An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers, Izv. Math. 62 (1998), 723-772. Zbl0923.11107
- [7] C. L. Stewart and K. Yu, On the abc conjecture, Math. Ann. 291 (1991), 225-230. Zbl0761.11030
- [8] K. Yu, Linear forms in p-adic logarithms, Acta Arith. 53 (1989), 107-186. Zbl0699.10050
- [9] K. Yu, Linear forms in p-adic logarithms II, III, Compositio Math. 74 (1990), 15-113; 91 (1994), 241-276.
- [10] K. Yu, P-adic logarithmic forms and group varieties I, J. Reine Angew. Math. 502 (1998), 29-92. Zbl0912.11029

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