Notes on a generalized -conjecture over function fields
Annales mathématiques Blaise Pascal (2001)
- Volume: 8, Issue: 1, page 61-71
- ISSN: 1259-1734
Access Full Article
topHow to cite
topHu, Pei-Chu, and Yang, Chung-Chun. "Notes on a generalized $abc$-conjecture over function fields." Annales mathématiques Blaise Pascal 8.1 (2001): 61-71. <http://eudml.org/doc/79227>.
@article{Hu2001,
author = {Hu, Pei-Chu, Yang, Chung-Chun},
journal = {Annales mathématiques Blaise Pascal},
keywords = {abc-conjecture; function fields; generalized Mason'stheorem},
language = {eng},
number = {1},
pages = {61-71},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Notes on a generalized $abc$-conjecture over function fields},
url = {http://eudml.org/doc/79227},
volume = {8},
year = {2001},
}
TY - JOUR
AU - Hu, Pei-Chu
AU - Yang, Chung-Chun
TI - Notes on a generalized $abc$-conjecture over function fields
JO - Annales mathématiques Blaise Pascal
PY - 2001
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 8
IS - 1
SP - 61
EP - 71
LA - eng
KW - abc-conjecture; function fields; generalized Mason'stheorem
UR - http://eudml.org/doc/79227
ER -
References
top- [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. Zbl0144.03901MR186620
- [2] Boutabaa, A. and Escassut, A.., Nevanlinna theory in characteristic p, and applications, preprint. Zbl1046.30030
- [3] Browkin, J. and Brzezinski, J.., Some remarks on the abc-conjecture, Mathematics of Computation62 (1994), 931-939. Zbl0804.11006MR1218341
- [4] Brownawell, W.D.and Masser, D.., Vanishing sums in function fields, Math. Proc. Cambridge Philos. Soc.100(1986), 427-434. Zbl0612.10010MR857720
- [5] Davenport, H., On f3(t) - g2(t), Norske Vid. Selsk. Forh. (Trondheim)38 (1965), 86-87. Zbl0136.25204MR186621
- [6] Hu, P.C., Li, P. and Yang, C.C., Unicity of meromorphic mappings, manuscript. Zbl1074.30002
- [7] Hu, P.C.and Yang, C.C.., The "abc" conjecture over function fields, Proc. Japan Acad.76, Ser. A(2000), 118-120. Zbl0979.11023MR1785638
- [8] Hu, P.C.and Yang, C.C.., Meromorphic functions over non-Archimedean fields, Mathematics and Its Applications522, Kluwer Academic Publishers, 2000. Zbl0984.30027MR1794326
- [9] Hu, P.C.and Yang, C.C.., A generalized abc-conjecture over function fields, to appear inJournal of Number Theory. Zbl1007.11015MR1916274
- [10] Hu, P.C.and Yang, C.C.., Some progresses in non-Archimedean analysis,.preprint. MR1943526
- [11] Hu, P.C.and Yang, C.C.., A note on the abc-conjecture, preprint. MR1908663
- [12] Lang, S.., Old and new conjectured Diophantine inequalities, Bull. Amer. Math. Soc.23 (1990), 37-75. Zbl0714.11034MR1005184
- [13] Mason, R.C.., The hyperelliptic equation over function fields, Math. Proc. Cambridge Philos. Soc.93(1983), 219-230. Zbl0513.10016MR691990
- [14] Mason, R.C.., Equations over function fields, Lecture Notes in Math.1068 (1984), 149-157, Springer. Zbl0544.10015MR756091
- [15] Mason, R.C.., Diophantine equations over function fields, London Math. Soc. Lecture Note Series, Vol.96, Cambridge University Press, United Kingdom, 1984. Zbl0533.10012MR754559
- [16] Mason, R.C.., Norm form equations I, J. Number Theory22 (1986), 190-207. Zbl0578.10021MR826951
- [17] Nevanlinna, R.., Le théorème de Picard-Borel et la théorie des fonctions meromorphes, Gauthier Villars, Paris, 1929; Reprint, Chelsea, New York, 1974 MR417418JFM55.0773.03
- [18] Stothers, W.W.., Polynomial identities and Hauptmoduln, Quart. J. Math. Oxford Ser. (2)32 (1981), no. 127, 349-370. Zbl0466.12011MR625647
- [19] Vojta, P., Diophantine approximation and value distribution theory, Lecture Notes in Math.1239, Springer, 1987. Zbl0609.14011MR883451
- [20] Voloch, J.F.., Diagonal equations over function fields, Bol. Soc. Brasil. Mat.16 (1985), 29-39. Zbl0612.10011MR847114
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.