Hostname: page-component-5c6d5d7d68-wp2c8 Total loading time: 0 Render date: 2024-08-16T01:17:41.400Z Has data issue: false hasContentIssue false

Quotient de Hadamard en plusieurs variables

Published online by Cambridge University Press:  17 April 2009

Abdelkader Necer
Affiliation:
DMI Université de MetzIle de Saulcy, BP 80079457012 Metz cedex 01France
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We obtain some results about a conjecture of Hadamard's quotient of rational series in the case of several variables.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1997

References

Bibliographe

[1]Bézivin, J.P., ‘Indépendance linéaire des valeurs des solutions transcendantes de certaines équations fonctionnelles II’, Acta Arith. 55 (1990), 233290.CrossRefGoogle Scholar
[2]Cantor, D.J., ‘On arithmetic properties of the Taylor series of rational functions’, Canad. J. Math. 21 (1969), 378382.CrossRefGoogle Scholar
[3]Pourchet, Y., ‘Solution du problème arithmétique du quotient de Hadamard de deux fractions rationnelles’, C.R. Acad Sci. Paris Sér. A 288 (1979), 10551057.Google Scholar
[4]Rumely, R., ‘Notes on Van der Poorten's proof of the Hadamard quotient theorem I et II’, Sím. Théor. Nombres Bordeaux (1986/1987), 349409.Google Scholar
[5]Van der Poorten, A.J., ‘Solution de la conjecture de Pisot sur le quotient de Hadamard de deux fractions rationnelles’, C.R. Acad. Sci. Paris. 306 (1988), 97102.Google Scholar