Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616276 | Journal of Mathematical Analysis and Applications | 2014 | 7 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Maciej Radziejewski,