no. 23-24
Complex Analysis/Number Theory
An abc theorem on the disk
[Un théorème du type abc sur le disque]

Présenté par : Gilles Pisier

Dyakonov, Konstantin M.1
1 ICREA and Universitat de Barcelona, Departament de Matemàtica Aplicada i Anàlisi, Gran Via 585, 08007 Barcelona, Spain
Comptes Rendus. Mathématique, Tome 348 (2010) no. 23-24, pp. 1259-1261.

On généralise le « théorème abc » sur les polynômes (alias le théorème de Mason–Stothers) au cas des fonctions analytiques arbitraires sur le disque.

We extend the classical abc theorem for polynomials (also known as Mason's, or Mason–Stothers', theorem) to general analytic functions on the disk.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.10.030
Dyakonov, Konstantin M. 1

1 ICREA and Universitat de Barcelona, Departament de Matemàtica Aplicada i Anàlisi, Gran Via 585, 08007 Barcelona, Spain 
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Dyakonov, Konstantin M. An abc theorem on the disk. Comptes Rendus. Mathématique, Tome 348 (2010) no. 23-24, pp. 1259-1261. doi : 10.1016/j.crma.2010.10.030. http://www.numdam.org/articles/10.1016/j.crma.2010.10.030/

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☆ Supported in part by grant MTM2008-05561-C02-01 from El Ministerio de Ciencia e Innovación (Spain) and grant 2009-SGR-1303 from AGAUR (Generalitat de Catalunya).