Some remarks on the S-unit equation in function fields

Umberto Zannier

Acta Arithmetica (1993)

  • Volume: 64, Issue: 1, page 87-98
  • ISSN: 0065-1036

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Umberto Zannier. "Some remarks on the S-unit equation in function fields." Acta Arithmetica 64.1 (1993): 87-98. <http://eudml.org/doc/206538>.

@article{UmbertoZannier1993,
author = {Umberto Zannier},
journal = {Acta Arithmetica},
keywords = {-unit equation; function fields},
language = {eng},
number = {1},
pages = {87-98},
title = {Some remarks on the S-unit equation in function fields},
url = {http://eudml.org/doc/206538},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Umberto Zannier
TI - Some remarks on the S-unit equation in function fields
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 1
SP - 87
EP - 98
LA - eng
KW - -unit equation; function fields
UR - http://eudml.org/doc/206538
ER -

References

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  1. [1] F. Baldassarri and B. Dwork, On second order linear differential equations with algebraic solutions, Amer. J. Math. 101 (1979), 42-76. Zbl0425.34007
  2. [2] J. Browkin and J. Brzeziński, Some remarks on the abc-conjecture, Math. Comp., to appear. Zbl0804.11006
  3. [3] W. D. Brownawell and D. Masser, Vanishing sums in function fields, Math. Proc. Cambridge Philos. Soc. 100 (1986), 427-434. Zbl0612.10010
  4. [4] B. Chiarellotto, On Lamé operator with finite monodromy group, Trans. Amer. Math. Soc., to appear. 
  5. [5] M. Fried, On a conjecture of Schur, Michigan Math. J. 17 (1970), 41-55. 
  6. [6] M. Fried, On a theorem of Ritt and related diophantine problems, J. Reine Angew. Math. 264 (1973), 40-55. Zbl0278.12101
  7. [7] W. Fulton, Fundamental Group of a Curve, Archives of the Princeton University Mathematics Library, 1966. 
  8. [8] R. C. Mason, Equations over function fields, in: Number Theory, Noordwijkerhout 1983, Lecture Notes in Math. 1068, Springer, 1984, 149-157. 
  9. [9] R. C. Mason, Diophantine Equations over Function Fields, London Math. Soc. Lecture Note Ser. 96, Cambridge Univ. Press, 1984. Zbl0533.10012
  10. [10] R. C. Mason, Norm form equations I, J. Number Theory 22 (1986), 190-207. Zbl0578.10021
  11. [11] A. Schinzel, Selected Topics on Polynomials, Univ. of Michigan Press, 1982. 
  12. [12] H. Seifert and W. Threlfall, Lehrbuch der Topologie, Teubner, Leipzig 1932. 
  13. [13] C. L. Siegel, Topics in Complex Function Theory, Vol. I, Interscience Publ., New York 1969. Zbl0184.11201
  14. [14] J. H. Silverman, The S-unit equation over function fields, Math. Proc. Cambridge Philos. Soc. 95 (1984), 3-4. Zbl0533.10013
  15. [15] M. Tretkoff, Algebraic extensions of the field of rational functions, Comm. Pure Appl. Math. 24 (1971), 491-497. Zbl0226.12101
  16. [16] J. F. Voloch, Diagonal equations over function fields, Bol. Soc. Brasil. Mat. 16 (1985), 29-39. Zbl0612.10011

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