Title :
Notice of Retraction
On the k-th mean value of digits summation in base 10
Author :
Zhibin Ren ; Rong Shan
Author_Institution :
Dept. of Comput. & Sci., Weinan Teachers Univ., Weinan, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
Let m be any non-negetive integer, b(m) denotes the summation of base 10 digits of m. For any natrual x, and arbitrary fixed exponents k ∈ N let Δk(x) = Σ<;sub>m<;x<;/sub>bk(m). The main purpose of this paper is to study the calculating problem of Δk(x), and use combinational methods to deduce some exact formulas for it, which related the Stirling numbers.
Keywords :
combinatorial mathematics; Stirling numbers; arbitrary fixed exponents; base 10 digits summation; combinational methods; k-th mean value; nonnegative integer; F.Smarandache; Stirling numbers; Sum of base 10 digits;
Conference_Titel :
Computer Science and Information Technology (ICCSIT), 2010 3rd IEEE International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5537-9
DOI :
10.1109/ICCSIT.2010.5563794
