Certain Multiplier Version Of The Riemann Derangement Theorem

Abstract

Aim of this paper is to consider a problem formulated in [6]. Namely, it has been proven that for any sequences , , for every interval [a, b] ⊂ [-∞,∞], there exist a nondecreasing sequence {kn}∞n=1 of positive integers and a sequence {εn}∞n=1 of ±1 signs such that the set of limit points of the series ∑εnxknan is equal to [a, b]

Keywords

• Riemann derangement theorem