With cedram.org
Annales Mathématiques
Blaise Pascal
Search for an article
Search within the site
Table of contents for this issue | Previous article | Next article
Pei-Chu Hu; Chung-Chun Yang
Notes on a generalized $abc$-conjecture over function fields
Annales mathématiques Blaise Pascal, 8 no. 1 (2001), p. 61-71, doi: 10.5802/ambp.135
Article PDF | Reviews MR 1863647 | Zbl 01690884

Bibliography

[1] Birch, B.J., Chowla, S., M. Hall Jnrand Schinzel, A., On the difference x3 — y2, Norske Vid. Selsk. Forh. (Trondheim) 38 (1965), 65-69.  MR 186620 |  Zbl 0144.03901
[2] Boutabaa, A. and Escassut, A.., Nevanlinna theory in characteristic p, and applications, preprint.
[3] Browkin, J. and Brzezinski, J.., Some remarks on the abc-conjecture, Mathematics of Computation62 (1994), 931-939.  MR 1218341 |  Zbl 0804.11006
[4] Brownawell, W.D. and Masser, D.., Vanishing sums in function fields, Math. Proc. Cambridge Philos. Soc. 100(1986), 427-434.  MR 857720 |  Zbl 0612.10010
[5] Davenport, H., On f3(t) - g2(t), Norske Vid. Selsk. Forh. (Trondheim) 38 (1965), 86-87.  MR 186621 |  Zbl 0136.25204
[6] Hu, P.C., Li, P. and Yang, C.C., Unicity of meromorphic mappings, manuscript.
[7] Hu, P.C. and Yang, C.C.., The "abc" conjecture over function fields, Proc. Japan Acad. 76, Ser. A(2000), 118-120. Article |  MR 1785638 |  Zbl 0979.11023
[8] Hu, P.C. and Yang, C.C.., Meromorphic functions over non-Archimedean fields, Mathematics and Its Applications 522, Kluwer Academic Publishers, 2000.  MR 1794326 |  Zbl 0984.30027
[9] Hu, P.C. and Yang, C.C.., A generalized abc-conjecture over function fields, to appear inJournal of Number Theory.  MR 1916274 |  Zbl 1007.11015
[10] Hu, P.C. and Yang, C.C.., Some progresses in non-Archimedean analysis,.preprint.  MR 1943526
[11] Hu, P.C. and Yang, C.C.., A note on the abc-conjecture, preprint.  MR 1908663
[12] Lang, S.., Old and new conjectured Diophantine inequalities, Bull. Amer. Math. Soc. 23 (1990), 37-75. Article |  MR 1005184 |  Zbl 0714.11034
[13] Mason, R.C.., The hyperelliptic equation over function fields, Math. Proc. Cambridge Philos. Soc. 93(1983), 219-230.  MR 691990 |  Zbl 0513.10016
[14] Mason, R.C.., Equations over function fields, Lecture Notes in Math. 1068 (1984), 149-157, Springer.  MR 756091 |  Zbl 0544.10015
[15] Mason, R.C.., Diophantine equations over function fields, London Math. Soc. Lecture Note Series, Vol.96, Cambridge University Press, United Kingdom, 1984.  MR 754559 |  Zbl 0533.10012
[16] Mason, R.C.., Norm form equations I, J. Number Theory 22 (1986), 190-207.  MR 826951 |  Zbl 0578.10021
[17] Nevanlinna, R.., Le théorème de Picard-Borel et la théorie des fonctions meromorphes, Gauthier Villars, Paris, 1929; Reprint, Chelsea, New York, 1974  MR 417418 |  JFM 55.0773.03
[18] Stothers, W.W.., Polynomial identities and Hauptmoduln, Quart. J. Math. Oxford Ser. (2) 32 (1981), no. 127, 349-370.  MR 625647 |  Zbl 0466.12011
[19] Vojta, P., Diophantine approximation and value distribution theory, Lecture Notes in Math.1239, Springer, 1987.  MR 883451 |  Zbl 0609.14011
[20] Voloch, J.F.., Diagonal equations over function fields, Bol. Soc. Brasil. Mat. 16 (1985), 29-39.  MR 847114 |  Zbl 0612.10011