On the numbers of solutions of weighted unit equations

J. H. Evertse; K. Györy

Compositio Mathematica (1988)

  • Volume: 66, Issue: 3, page 329-354
  • ISSN: 0010-437X

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Evertse, J. H., and Györy, K.. "On the numbers of solutions of weighted unit equations." Compositio Mathematica 66.3 (1988): 329-354. <http://eudml.org/doc/89906>.

@article{Evertse1988,
author = {Evertse, J. H., Györy, K.},
journal = {Compositio Mathematica},
keywords = {diophantine inequalities; unit equations; systems; function fields},
language = {eng},
number = {3},
pages = {329-354},
publisher = {Kluwer Academic Publishers},
title = {On the numbers of solutions of weighted unit equations},
url = {http://eudml.org/doc/89906},
volume = {66},
year = {1988},
}

TY - JOUR
AU - Evertse, J. H.
AU - Györy, K.
TI - On the numbers of solutions of weighted unit equations
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 66
IS - 3
SP - 329
EP - 354
LA - eng
KW - diophantine inequalities; unit equations; systems; function fields
UR - http://eudml.org/doc/89906
ER -

References

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  1. 1 W.D. Brownawell and D.W. Masser: Vanishing sums in function fields. Proc. Cambridge Philos. Soc.100 (1986) 427-434. Zbl0612.10010MR857720
  2. 2 J.H. Evertse: On sums of S-units and linear recurrences, Comp. Math.53 (1984) 225-244. Zbl0547.10008MR766298
  3. 3 J.H. Evertse: On equations in S-units and the Thue-Mahler equation. Invent. Math.75 (1984) 561-584. Zbl0521.10015MR735341
  4. 4 J.H. Evertse: On equations in two S-units over function fields of characteristic 0. Acta Arith.47 (1986) 233-253. Zbl0632.10015MR870667
  5. 5 J.H. Evertse, I. Gaál and K. Györy: On the numbers of solutions of decomposable polynomial equations, to appear. Zbl0655.10017
  6. 6 J.H. Evertse and K. Györy: On unit equations and decomposable form equations. J. Reine Angew. Math.358 (1985) 6-19. Zbl0552.10010MR797671
  7. 7 J.H. Evertse, K. Györy, C.L. Stewart and R. Tijdeman: S-unit equations and their applications. In: New Advances in Transcendence Theory. Cambridge, to appear. Zbl0658.10023MR971998
  8. 8 J.H. Evertse, K. Györy, C.L. Stewart and R. Tijdeman: On S-unit equations in two unknowns. Invent. Math., to appear. Zbl0662.10012MR939471
  9. 9 M. Laurent: Equations diophantiennes exponentielles. Invent. Math.78 (1984) 299-327. Zbl0554.10009MR767195
  10. 10 R.C. Mason: Norm form equations I. J. Number Theory22 (1986) 190-207. Zbl0578.10021MR826951
  11. 11 J. van der Poorten and H.P. Schlickewei: The growth conditions for recurrence sequences. Macquarie Univ. Math. Rep. 82-0041, North Ryde, Australia, (1982). 
  12. 12 J.H. Silverman: Integral points on abelian surfaces are widely spaced, Comp. Math.61 (1987) 253-266. Zbl0617.14014MR882977
  13. 13 R. Tijdeman and Lianxiang Wang: Simultaneous weighted sums of elements of finitely generated multiplicative groups, to appear. Zbl0661.10028MR952516
  14. 14 P. Vojta: Diophantine Approximations and Value Distribution Theory. Lecture Notes in Mathematics1239, Springer Verlag, Berlin (1987). Zbl0609.14011MR883451
  15. 15 J.F. Voloch: Diagonal equations over function fields. Bol. Soc. Bras.16 (1985) 29-39. Zbl0612.10011MR847114

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