Universally Overconvergent Power Series via the Riemann Zeta-function
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 544-550

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

The Riemann zeta-function is employed to generate universally overconvergent power series.
DOI : 10.4153/CMB-2011-196-0
Mots-clés : 30K05, 11M06, overconvergence, zeta-function
Gauthier, P. M. Universally Overconvergent Power Series via the Riemann Zeta-function. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 544-550. doi: 10.4153/CMB-2011-196-0
@article{10_4153_CMB_2011_196_0,
     author = {Gauthier, P. M.},
     title = {Universally {Overconvergent} {Power} {Series} via the {Riemann} {Zeta-function}},
     journal = {Canadian mathematical bulletin},
     pages = {544--550},
     year = {2013},
     volume = {56},
     number = {3},
     doi = {10.4153/CMB-2011-196-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-196-0/}
}
TY  - JOUR
AU  - Gauthier, P. M.
TI  - Universally Overconvergent Power Series via the Riemann Zeta-function
JO  - Canadian mathematical bulletin
PY  - 2013
SP  - 544
EP  - 550
VL  - 56
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-196-0/
DO  - 10.4153/CMB-2011-196-0
ID  - 10_4153_CMB_2011_196_0
ER  - 
%0 Journal Article
%A Gauthier, P. M.
%T Universally Overconvergent Power Series via the Riemann Zeta-function
%J Canadian mathematical bulletin
%D 2013
%P 544-550
%V 56
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-196-0/
%R 10.4153/CMB-2011-196-0
%F 10_4153_CMB_2011_196_0

[1] [1] Bohr, H., Zur Theorie der Riemannschen Zetafunktion im kritischen Streifen. Acta. Math. 40 (1915, 67–100. Google Scholar

[2] [2] Clouâtre, R., Universal power series in CN: Canad. Math. Bull. 54 (2011, no. 2, 230–236. Google Scholar

[3] [3] Chui, C. K. and Parnes, M. N., Approximation by overconvergence of a power series. J. Math. Anal. Appl. 36 (1971, 693–696. Google Scholar | DOI

[4] [4] Grosse-Erdmann, K.-G., Holomorphe Monster und universelle Funktionen. Mitt. Math. Sem. Giessen 176 (1987. Google Scholar

[5] [5] Grosse-Erdmann, K.-G., Universal families and hypercyclic operators. Bull. Am. Math. Soc. (N. S.) 36 (1999, no. 3, 345–381. Google Scholar | DOI

[6] [6] Luh, W., Approximation analytischer Funktionen durch überkonvergente Potenzreihen und deren Matrix-Transformierten. Mitt. Math. Semin. Giessen 88 (1970. Google Scholar

[7] [7] Nestoridis, V., Universal Taylor series. Ann. Inst. Fourier 46 (1996, no. 5, 1293–1306. Google Scholar | DOI

[8] [8] Poirier, A., Séries universelles construites `a l’aide de la fonction zeta de Riemann. In: Progress in Analysis and its Applications, Proceedings of the 7th ISAAC Congress,World Scientific Publishing CSingapore, o., 2010, pp. 164–170, Google Scholar

[9] [9] Reich, A., Wertverteilung von Zetafunktionen. Arch. Math. (Basel) 34 (1980, 440–451. Google Scholar

[10] [10] Selesnev, A. I., On universal power series. (Russian) Mat. Sbornik N.S. 28 (70(1951), 453–460. Google Scholar

[11] [11] Voronin, S. M., On the distribution of nonzero values of the Riemann ζ-function. Proc. Steklov Inst. Math. 128 (1972, 153–175; translation from Trudy Mat. Inst. Steklov 128 (1972, 131–150. Google Scholar

Cité par Sources :