p-adic logarithmic forms and group varieties II

Kunrui Yu

Acta Arithmetica (1999)

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

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Kunrui 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

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  1. [1] A. Baker and G. Wüstholz, Logarithmic forms and group varieties, J. Reine Angew. Math. 442 (1993), 19-62. Zbl0788.11026
  2. [2] E. Bombieri and J. Vaaler, On Siegel's lemma, Invent. Math. 73 (1983), 11-32; Addendum, ibid. 75 (1984), 377. Zbl0533.10030
  3. [3] A. Fröhlich and M. J. Taylor, Algebraic Number Theory, Cambridge Univ. Press, 1991. Zbl0744.11001
  4. [4] H. Hasse, Number Theory, Springer, Berlin, 1980. 
  5. [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. [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. [7] C. L. Stewart and K. Yu, On the abc conjecture, Math. Ann. 291 (1991), 225-230. Zbl0761.11030
  8. [8] K. Yu, Linear forms in p-adic logarithms, Acta Arith. 53 (1989), 107-186. Zbl0699.10050
  9. [9] K. Yu, Linear forms in p-adic logarithms II, III, Compositio Math. 74 (1990), 15-113; 91 (1994), 241-276. 
  10. [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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