The Mahler problem with nonmonotone right-hand side in the field of complex numbers

Autor:	N. V. Budarina
Rok vydání:	2013
Předmět:	Combinatorics Degree (graph theory) Integer Series (mathematics) Lebesgue measure General Mathematics Monotonic function Field (mathematics) Complex number Mathematics Variable (mathematics)
Zdroj:	Mathematical Notes. 93:802-809
ISSN:	1573-8876 0001-4346
Popis:	In the last twenty years, the exact order of approximation by zeros of the moduli of the values of the integer polynomials in a real and a complex variable was established. However, in the case of convergence of the series consisting of the right-hand sides of inequalities, the monotonicity condition for the right-hand sides in the classical Khintchine theorem can be dropped. It is shown in the present paper that, in the complex case, the monotonicity condition is also insignificant for polynomials of arbitrary degree.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0981d746ab2408d77e19359bf2a224fe https://doi.org/10.1134/s0001434613050192 Zobrazit plný text záznamu Plný text ve formátu PDF