Algebraic independence of logarithmic singularities of some complex functions

Autor:	Maciej Radziejewski
Rok vydání:	2014
Předmět:	Complex analysis Algebraic cycle Discrete mathematics Ring (mathematics) Function field of an algebraic variety Applied Mathematics Real algebraic geometry Algebraic independence Selberg class Analysis Addition theorem Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 410:764-770
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2013.09.005
Popis:	We show that algebraic independence of some complex functions of one variable over regular functions implies their algebraic independence over a larger ring, containing complex powers of regular functions. Based on this we obtain a generalization of a special case of the theorem of Kaczorowski and Perelli on functional independence of logarithms of functions in the Selberg class. As an application we state a new result on oscillations of arithmetical functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::aa0ea3d700bd8788a754a9f06b59c284 https://doi.org/10.1016/j.jmaa.2013.09.005 Zobrazit plný text záznamu Full Text from ScienceDirect