[Un théorème du type abc sur le disque]
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.
Accepté le :
Publié le :
Konstantin M. Dyakonov 1
@article{CRMATH_2010__348_23-24_1259_0, author = {Konstantin M. Dyakonov}, title = {An \protect\emph{abc} theorem on the disk}, journal = {Comptes Rendus. Math\'ematique}, pages = {1259--1261}, publisher = {Elsevier}, volume = {348}, number = {23-24}, year = {2010}, doi = {10.1016/j.crma.2010.10.030}, language = {en}, }
Konstantin M. Dyakonov. An abc theorem on the disk. Comptes Rendus. Mathématique, Volume 348 (2010) no. 23-24, pp. 1259-1261. doi : 10.1016/j.crma.2010.10.030. https://comptes-rendus.academie-sciences.fr/mathematique/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).
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