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

• Autorzy: Julia Mueller
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 64
• Numer: 1
• Strony: 7-18

Daty

wydano

1993

otrzymano

1991-09-13

poprawiono

1992-09-25

Twórcy

autor

Julia Mueller

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

Bibliografia

• [B-M] E. Bombieri and J. Mueller, The generalised Fermat equation in function fields, J. Number Theory 39 (1991), 339-350.
• W. D. Brownawell and D. W. Masser, Vanishing sums in function fields, Math. Proc. Cambridge Philos. Soc. 100 (1986), 427-434.
• J.-H. Evertse, K. Győry, C. L. Stewart and R. Tijdeman, On S-unit equations in two unknowns, Invent. Math. 92 (1988), 461-477.
• [M] J. Mueller, Binomial Thue's equation over function fields, Compositio Math. 73 (1990), 189-197.
• [N-S] D. J. Newman and M. Slater, Waring's problem for the ring of polynomials, J. Number Theory 11 (1979), 477-487.
• [S] J. H. Silverman, The Catalan equation over function fields, Trans. Amer. Math. Soc. 273 (1982), 201-205.
• [V] J. F. Voloch, Diagonal equations over function fields, Bol. Soc. Brasil. Mat. 16 (1985), 29-39.