Geodesic
Note on the region of overconvergence of Dirichlet series with Ostrowski gaps
Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 169-173

Voir la notice de l'article provenant de la source Cambridge University Press

The main object of this note is to show that a proof given by A. J. Macintyre [2] of a result on the overconvergence of partial sums of power series works more easily in the context of Dirichlet series. Applying this observation to the particular Dirichlet series Σane−ns, we can remove certain restrictions which Macintyre finds necessary in the direct treatment of power series. 
Earl, J. P.; Shackell, J. R. Note on the region of overconvergence of Dirichlet series with Ostrowski gaps. Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 169-173. doi: 10.1017/S2040618500035383
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[1] 1.Bourion, G., L'ultraconvergence dans les séries de Taylor, Actualités Scientifiques et Industrielles no. 472 (Paris 1937). Google Scholar

[2] 2.Macintyre, A. J., An overconvergence theorem of G. Bourion and its application to coefficients of certain power series, Ann. Acad. Sci. Fenn. Ser. A.I. 250/23 (1958). Google Scholar

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