Let \alpha be a countable partition of the unit interval [0,1]. In this paper, we will introduce the error-sum function of \alpha-Lüroth series and determine the Hausdorff dimension of its graph when the partition \alpha is eventually decreasing. Some other properties of the error-sum function are also investigated.
CHEN, HAIBO; WANG, WENBO; and YU, MIN
"Hausdorff dimension of the graph of the error-sum function of \alpha-Lüroth series,"
Turkish Journal of Mathematics: Vol. 38:
5, Article 1.
Available at: https://journals.tubitak.gov.tr/math/vol38/iss5/1