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Original Articles

A Powerful Determinant

Pages 307-320 | Published online: 04 Apr 2012

REFERENCES

  • Bombieri , E. 1997 . “The equivariant Thue–Siegel method”. ” . In Arithmetic geometry (Cortona, 1994) Edited by: Catanese , F. 70 – 86 . Cambridge : Cambridge Univ. Press. . [Bombieri 1997], Symposia Math. 37
  • Bombieri , E. and Vaaler , J. 1983 . “On Siegel's lemma” . Invent. Math. , 73 ( 1 ) : 11 – 32 . [Bombieri and Vaaler 1983], Addendum in 75:2 (1984), 377
  • Bombieri , E. , Hunt , D. C. and van der Poorten , A. J. 1995 . “Determinants in the study of Thue's method and curves with prescribed singularities” . Experiment. Math. , 4 ( 2 ) : 87 – 96 . [Bombieri et al. 1995]
  • Bombieri , E. , Van der Poorten , A. J. and Vaaler , J. D. 1996 . “Effective measures of irrationality for cubic extensions of number fields” . Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , 23 ( 2 ) : 211 – 248 . [Bombieri et al. 1996]
  • Krattenthaler , C. 1999 . “Advanced determinant calculus” . S'em. Lothar. Combin. , 42 : B42q 67 [Krattenthaler 1999], http://www.mat.univie.ac.at/-slcSee
  • Krattenthaler , C. and Zeilberger , D. 1997 . “Proof of a determinant evaluation conjectured by Bombieri, Hunt and van der Poorten” . New York J. Math. , 3 : 54 – 102 . [Krattenthaler and Zeilberger 1997], http://nyjm.albany.edu:8000/nyjm.htmlSee
  • van der Poorten , A. J. 1991 . “Generalised simultaneous approximation of functions” . J. Austral. Math. Soc. Ser. A , 51 ( 1 ) : 50 – 61 . [van der Poorten 1991]
  • Zeilberger , D. 1996 . “Reverend Charles to the aid of Major Percy and Fields medalist Enrico” . Amer. Math. Monthly , 103 ( 6 ) : 501 – 502 . [Zeilberger 1996]

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