期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.3767
出版社：Hindawi Publishing Corporation
摘要：We consider and study formal power series, that we call supported
series, with real coefficients which are either zero or bounded
below by some positive constant. The sequences of such
coefficients have a lot of similarity with sequences of natural
numbers considered in additive number theory. It is this analogy
that we pursue, thus establishing many properties and giving
equivalent statements to the well-known Erdös-Turán
conjectures in terms of supported series and extending to them a
version of Erdös-Fuchs theorem.
