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

Acta Arithmetica (1993)

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

## Access Full Article

top## How to cite

topJulia 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

top- [B-M] E. Bombieri and J. Mueller, The generalised Fermat equation in function fields, J. Number Theory 39 (1991), 339-350. Zbl0739.11012
- W. D. Brownawell and D. W. Masser, Vanishing sums in function fields, Math. Proc. Cambridge Philos. Soc. 100 (1986), 427-434. Zbl0612.10010
- 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
- [M] J. Mueller, Binomial Thue's equation over function fields, Compositio Math. 73 (1990), 189-197. Zbl0697.10015
- [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
- [S] J. H. Silverman, The Catalan equation over function fields, Trans. Amer. Math. Soc. 273 (1982), 201-205. Zbl0493.10020
- [V] J. F. Voloch, Diagonal equations over function fields, Bol. Soc. Brasil. Mat. 16 (1985), 29-39. Zbl0612.10011