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ArticleOriginal scientific text

Title

The abc-inequality and the generalized Fermat equation in function fields

Authors 1

Affiliations

  1. Department of Mathematics, Fordham University, Bronx, New York 10458, U.S.A.

Bibliography

  1. [B-M] E. Bombieri and J. Mueller, The generalised Fermat equation in function fields, J. Number Theory 39 (1991), 339-350.
  2. W. D. Brownawell and D. W. Masser, Vanishing sums in function fields, Math. Proc. Cambridge Philos. Soc. 100 (1986), 427-434.
  3. J.-H. Evertse, K. Győry, C. L. Stewart and R. Tijdeman, On S-unit equations in two unknowns, Invent. Math. 92 (1988), 461-477.
  4. [M] J. Mueller, Binomial Thue's equation over function fields, Compositio Math. 73 (1990), 189-197.
  5. [N-S] D. J. Newman and M. Slater, Waring's problem for the ring of polynomials, J. Number Theory 11 (1979), 477-487.
  6. [S] J. H. Silverman, The Catalan equation over function fields, Trans. Amer. Math. Soc. 273 (1982), 201-205.
  7. [V] J. F. Voloch, Diagonal equations over function fields, Bol. Soc. Brasil. Mat. 16 (1985), 29-39.
Acta Arithmetica
1993/64/1
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Pages:
7-18
Main language of publication
English
Received
1991-09-13
Accepted
1992-09-25
Published
1993
Exact and natural sciences