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Experimental Mathematics Volume 4, 1995 - Issue 2
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Original Articles

Determinants in the Study of Thue's Method and Curves with Prescribed Singularities

Enrico Bombieri School of Mathematics, Institute for Advanc ed Study, Princeton, NJ, 08540, USA E-mail: [email protected]
,
David C. Hunt School of Mathematics, University of New South Wales, Kensington, NSW, 2031, Australia E-mail: [email protected]
&
Alfred J. van der Poorten Centre for Number Theory Research, Macquarie University, Sydney, NSW, 2109, Australia E-mail: [email protected]
Pages 87-96 | Published online: 03 Apr 2012

REFERENCES

  • Beukers van der Poorten , F. A.J. and Yager , R. I. 1991 . “Dyson's lemma without tears” . Indag. Math. (new series) , [Beukers et al 1991]
  • Bombieri , E. 1982 . “On the Thue–Siegel theorem” . Acta Math. , 148 : 255 – 296 . [Bombieri 1982]
  • Bombieri , E. 1993 . “Effective diophantine approximation on G . Ann. Scuola Norm. Sup. Pisa, CI. Sci. (4) , 20 : 61 – 89 . [Bombieri 1993]
  • Bombieri , E. and Mueller , J. 1983 . “On effective measures of irrationality for √a/b and related numbers” . J. reine angew. Math. , 342 : 173 – 196 . [Bombieri and Mueller 1983]
  • Bombieri , E. and van der Poorten , A. J. 1988 . “Some quantitative results related to Roth's theorem” . J. Austral. Math. Soc. , A45 : 233 – 248 . [Bombieri and van der Poorten 1988], corrigenda, 48 (1990), 154–155
  • Bombieri , E. and Vaaler , J. D. 1983 . “On Siegel's lemma” . Invent. Math. , 73 : 11 – 32 . [Bombieri and Vaaler 1983], addendum, 75 (1984), 377
  • Esnault , H. and Viehweg , E. 1984 . “Dyson's lemma for polynomials in several variables (and the theorem of Roth)” . Invent. Math. , 78 : 445 – 490 . [Esnault and Viehweg 1984]
  • Muir , T. 1911 . Theory of determinants in the historical order of development London : Macmillan. . [Muir 1911], reprinted by Dover, New York, 1960
  • Muir , T. 1933 . A treatise on the theory of determinants New York : Longmans. . [Muir 1933]
  • van der Poorten , A. J. 1976 . “Some determinants that should be better known” . J. Austral. Math. Soc. , A21 : 278 – 288 . [van der Poorten 1976]
  • van der Poorten , A. J. 1991 . “Obituary: Kurt Mahler 1903–1988” . J. Austral. Math. Soc. , 51 : 343 – 380 . [van der Poorten 1991]
  • Viola , C. 1985 . “On Dyson's lemma” . Ann. Scuola Norm. Sup. Pisa, CI. Sci. , 12 : 105 – 135 . [Viola 1985], (4)
  • Viola , C. 1992 . “On Dyson's lemma in several variables”. ” . In Approximations diophantiennes et nombres transcendants 281 – 284 . Berlin : de Gruyter. . [Viola 1992], Luminy 1990
  • Vojta , P. 1989 . “Dyson's lemma for products of two curves of arbitrary genus” . Invent. Math. , 98 : 107 – 113 . [Vojta 1989]
  • Vojta , P. 1991 . “Siegel's theorem in the compact case” . Ann. Math. , 133 : 509 – 548 . [Vojta 1991]

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