Problème de Lehmer en caractéristique finie
Compositio Mathematica (1995)
- Volume: 98, Issue: 2, page 167-175
- ISSN: 0010-437X
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topDenis, Laurent. "Problème de Lehmer en caractéristique finie." Compositio Mathematica 98.2 (1995): 167-175. <http://eudml.org/doc/90399>.
@article{Denis1995,
author = {Denis, Laurent},
journal = {Compositio Mathematica},
keywords = {Carlitz module; canonical height; analog of the real Lehmer conjecture; Drinfeld module},
language = {fre},
number = {2},
pages = {167-175},
publisher = {Kluwer Academic Publishers},
title = {Problème de Lehmer en caractéristique finie},
url = {http://eudml.org/doc/90399},
volume = {98},
year = {1995},
}
TY - JOUR
AU - Denis, Laurent
TI - Problème de Lehmer en caractéristique finie
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 98
IS - 2
SP - 167
EP - 175
LA - fre
KW - Carlitz module; canonical height; analog of the real Lehmer conjecture; Drinfeld module
UR - http://eudml.org/doc/90399
ER -
References
top- [B-B] Becker, P.G. and Bergweiler, W.: Transcendency of local conjugacies in complex dynamics and transcendency of their values, Manuscripta Mathematica, vol. 81, 329-337, 1993. Zbl0808.11045MR1248759
- [C-S] Call, G. and Silverman, S.: Canonical height on varieties with morphisms, Compositio Math., vol. 29, n. 2, novembre 1993, 163-205. Zbl0826.14015MR1255693
- [C] Carlitz, L.: On certain functions connected with polynomials in a Galois field, Duke Math. J., n. 1, 137-168, 1935. Zbl0012.04904MR1545872JFM61.0127.01
- [D-H] Deligne, P. and Husemöller, D.: Survey of Drinfeld modules, Current trends in arithmetical algebraic geometry, Contemporary Math., vol. 67, 25-91, 1987. Zbl0627.14026MR902591
- [D1] Denis, L.: Hauteurs canoniques et modules de Drinfeld. Math. Annalen, 294, 213-223, 1992. Zbl0764.11027MR1183402
- [D2] Denis, L.: Géométrie diophantienne sur les modules de Drinfeld. Proceedings du 'Workshop on function fields' Ohio, D. Gross, D. Hayes, M. Rosen eds, 285-303, 1992. Zbl0798.11022MR1196525
- [D3] Denis, L.: Problèmes diophantiens sur les t-modules, 'Publications de l'université P. et M. Curie' Paris6, n. 103, 1993 et preprint (to appear in Journal de théorie des Nembres de Bordeaux).
- [Do] Dobrowolski, E.: On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith., 34, 1979, 391-401. Zbl0416.12001MR543210
- [D-H] Douady, A. and Hubbard, J.: Itération des polynômes quadratiques complexes, C.R. Acad. Sci. Paris, 123-126, 1982. Zbl0483.30014MR651802
- [G] Grandet Hugot, M.: Eléments algébriques remarquables dans un corps de séries formelles, Acta Arithmetica, XIV, 1968, 177-184. Zbl0208.06204MR227141
- [Go] Golomb, S.W.: On certain nonlinear recurring sequences, Amer. Math. Monthly, 70, 403-405,1963. Zbl0139.26705MR148605
- [H] Hayes, D.: Explicit class field theory for rational function fields, Trans. Amer. Math. Soc., 189, 1974, 77-91. Zbl0292.12018MR330106
- [L] Lang, S.: Fundamentals of Diophantine Geometry, Springer verlag, 1983. Zbl0528.14013MR715605
- [La] Laurent, M.: Minoration de la hauteur de Néron-Tate, Progress in Math., 38, 1983; Birkhauser, 1981-1982,213-222. Zbl0521.14010MR729165
- [P] Poonen, B.: Local height functions and the Mordell-Weil theorem for Drinfeld modules, à paraître dans Compositio Math. Zbl0839.11024MR1353279
- [S] Stichtenoth, H.: Algebraic function fields and Codes, Springer-Verlag, 1993. Zbl0816.14011MR1251961
- [Z] Zimmer, H.: On the difference of the Weil height and the Néron-Tate height, Math. Z., 147, 1976, 35-51. Zbl0303.14003MR419455
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