Voir la notice de l'article provenant de la source Math-Net.Ru
@article{CHEB_2011_12_2_a10, author = {O. A. Petruschov}, title = {On the behavior of some power series near the unit circle}, journal = {\v{C}eby\v{s}evskij sbornik}, pages = {85--95}, publisher = {mathdoc}, volume = {12}, number = {2}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a10/} }
O. A. Petruschov. On the behavior of some power series near the unit circle. Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 85-95. http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a10/
[1] Mandelbroit S., “Series de Taylor qui presentent des lacunes”, Ann. Scient Ecole Norm. Sup., Ser. 3, 40 (1923), 413–462
[2] Biberbakh L., Analiticheskoe prodolzhenie, Nauka, M., 1967 | MR
[3] Carlson F., “Über Potenzreihen mit ganzzahligen Koeffizienten”, Mathematische Zeitschrift, 9 (1921), 1–13 | DOI | MR | Zbl
[4] Koblits N., Vvedenie v ellipticheskie krivye i modulyarnye formy, Mir, M., 1988 | MR
[5] Mamford D., Lektsii o teta-funktsiyakh, Mir, M., 1988 | MR
[6] Kuznetsov V. N., Krivobok V. V., Sitsinskaya E. V., “O granichnykh svoistvakh odnogo klassa stepennykh ryadov”, Issledovaniya po algebre, teorii chisel, funktsionalnomu analizu i smezhnym voprosam, 3, Izdatelstvo Saratovskogo universiteta, Saratov, 2005, 40–47
[7] Widder D., The Laplace transform, Princeton Univ. press, 1941 | MR
[8] Hardy G. H., Reisz M., The General Theory of Dirichlets Series, Cambridge Univ. press, 1915 | Zbl
[9] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, Faktorial, M., 2004