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

Julia Mueller

Acta Arithmetica (1993)

  • Volume: 64, Issue: 1, page 7-18
  • ISSN: 0065-1036

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Julia Mueller. "The abc-inequality and the generalized Fermat equation in function fields." Acta Arithmetica 64.1 (1993): 7-18. <http://eudml.org/doc/206537>.

@article{JuliaMueller1993,
author = {Julia Mueller},
journal = {Acta Arithmetica},
keywords = {generalized Fermat equation; rational function field in one variable; inequality},
language = {eng},
number = {1},
pages = {7-18},
title = {The abc-inequality and the generalized Fermat equation in function fields},
url = {http://eudml.org/doc/206537},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Julia Mueller
TI - The abc-inequality and the generalized Fermat equation in function fields
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 1
SP - 7
EP - 18
LA - eng
KW - generalized Fermat equation; rational function field in one variable; inequality
UR - http://eudml.org/doc/206537
ER -

References

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  1. [B-M] E. Bombieri and J. Mueller, The generalised Fermat equation in function fields, J. Number Theory 39 (1991), 339-350. Zbl0739.11012
  2. W. D. Brownawell and D. W. Masser, Vanishing sums in function fields, Math. Proc. Cambridge Philos. Soc. 100 (1986), 427-434. Zbl0612.10010
  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. Zbl0662.10012
  4. [M] J. Mueller, Binomial Thue's equation over function fields, Compositio Math. 73 (1990), 189-197. Zbl0697.10015
  5. [N-S] D. J. Newman and M. Slater, Waring's problem for the ring of polynomials, J. Number Theory 11 (1979), 477-487. Zbl0407.10039
  6. [S] J. H. Silverman, The Catalan equation over function fields, Trans. Amer. Math. Soc. 273 (1982), 201-205. Zbl0493.10020
  7. [V] J. F. Voloch, Diagonal equations over function fields, Bol. Soc. Brasil. Mat. 16 (1985), 29-39. Zbl0612.10011

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