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S-unit equations over number fields

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References

  1. Dubois, E., Rhin, G.: Sur la majoration de formes linéaires à coefficients algébriques réels et p-adiques. Démonstration d'une conjecture de K. Mahler. C.R. Acad. Sci. Paris,282 série A, 1211–1214, (1976)

    Google Scholar 

  2. Erdös, P. Stewart, C.L., Tijdeman. R.: Some diophantine equations with many solutions (to appear)

  3. Evertse, J.H.: On equations inS-units and the Thue-Mahler equation. Invent. Math.75, 561–584 (1984)

    Google Scholar 

  4. Evertse, J.H.: On sums ofS-units and linear recurrences. Compos. Math.53, 225–244 (1984)

    Google Scholar 

  5. Evertse, J.H., Györy, K.: On the numbers of solutions of weighted unit equations. Compos. Math.66, 329–354 (1988)

    Google Scholar 

  6. Mahler, K.: Zur Approximation algebraischer Zahlen I. (Über den größten Primteiler binärer Formen). Math Ann.107, 691–730 (1933)

    Google Scholar 

  7. van der Poorten, A.J. Schlickewei. H.P.: The growth condition for recurrence sequences. Macquarie Univ. Math. Rep. 82-0041, North Ryde, Australia, 1982

  8. Schlickewei, H.P.: The p-adic Thue-Siegel-Roth-Schmidt Theorem. Arch. Math.29, 267–270 (1977)

    Google Scholar 

  9. Schlickewei, H.P.: Über die diophantische Gleichungx 1+x 2+...+x n =0. acta Arith.33, 183–185 (1977)

    Google Scholar 

  10. Schlickewei, H.P.: An upper bound for the number of subspaces occurring in thep-adic subspace theorem in diophantine approximations. J. Reine Angew. Math.406, 44–108 (1990)

    Google Scholar 

  11. Schlickewei, H.P.: An explicit upper bound for the number of solutions of theS-unit equation. J. Reine Angew. Math.406, 109–120 (1990)

    Google Scholar 

  12. Schlickewei, H.P.: The quantitative subspace theorem for number fields. (to appear)

  13. Schmidt, W.M.: The subspace theorem in diophantine approximations. Compos. Math.69, 121–173 (1989)

    Google Scholar 

  14. Schmidt, W.M.: Lecture notes on diophantine approximations. University of Colorado, Boulder, 1989

    Google Scholar 

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  1. Hans Peter Schlickewei

    Present address: Department of Mathematics, University of Colorado Campus, Box 426, 80309-0426, Boulder, Colorado, USA

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  1. Abteilung für Mathematik, Universität Ulm, Oberer Eselsberg, D-7900, Ulm, Federal Republic of Germany

    Hans Peter Schlickewei

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  1. Hans Peter Schlickewei
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Oblatum 1-XI-1989 & 24-I-1990

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Schlickewei, H.P. S-unit equations over number fields. Invent Math 102, 95–107 (1990). https://doi.org/10.1007/BF01233421

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