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

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

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

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

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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).