Mathematical Analysis
Abstract theory of universal series and an application to Dirichlet series
Comptes Rendus. Mathématique, Volume 341 (2005) no. 9, pp. 539-543.

We present an abstract theory of universal series; in particular, we give a necessary and sufficient condition for the existence of universal series of a certain type. Most of the known results can be proved or strengthened by using this condition. We also obtain new results, for example, related to universal Dirichlet series.

Ainsi nous obtenons des démonstrations simples et des versions améliorées de la plupart de résultats connus. Nous obtenons aussi des résultats nouveaux, par example dans le cas de séries de Dirichlet.

Published online:
DOI: 10.1016/j.crma.2005.09.028
Nestoridis, Vassili 1; Papadimitropoulos, Chris 1

1 Department of Mathematics, Panepistimiopolis, University of Athens, Athens, 15784, Greece
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Nestoridis, Vassili; Papadimitropoulos, Chris. Abstract theory of universal series and an application to Dirichlet series. Comptes Rendus. Mathématique, Volume 341 (2005) no. 9, pp. 539-543. doi : 10.1016/j.crma.2005.09.028.

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Research supported by the program “EΠEAEK II, ΠYΘAΓOPAΣ II” (75% European grant and 25% Greek national grant).