科研之友
微信
新浪微博
Facebook
分享链接
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 Erd%26#246;s-Tur%26#225;n conjectures in terms of supported series and extending to them a version of Erd%26#246;s-Fuchs theorem.
