Some New Results concerning the Smarandache Ceil Function
نویسندگان
چکیده
In this article we present two new results concerning the Smarandache Ceil function. The first result proposes an equation for the number of fixed-point number of the Smarandache ceil function. Based on this result we prove that the average of the Smarandache ceil function is ) (n Θ .
منابع مشابه
On the mean value of the Smarandache ceil function
For any fixed positive integer n, the Smarandache ceil function of order k is denoted by N∗ → N and has the following definition: Sk(n) = min{x ∈ N : n | x}, ∀n ∈ N∗. In this paper, we study the mean value properties of the Smarandache ceil function, and give a sharp asymptotic formula for it.
متن کاملErdos-smarandache Moments Numbers
The starting point of this article is represented by a recent work of Finch [2000]. Based on two asymptotic results concerning the Erdos function, he proposed some interesting equation concerning the moments of the Smarandache function. The aim of this note is give a bit modified proof and to show some computation results for one of the Finch equation. We will call the numbers obtained from com...
متن کاملSolution of Two Questions concerning the Divisor Function and the Pseudo- Smarandache Function
In this paper we completely solve two questions concerning the divisor function and the pseudo Smarandache function.
متن کاملJavaconcurentprogramforthesamarandacbe Function
The aim of this article is to propose a Java concurrent program for the Smarandache fimction based on the equation sept' ..... p:.) = max{s(p~' ), ... ,S(p:·)}. Some results concerning the theoretical complexity of this program are proposed. Fmally, the experimental results of the sequential and Java programs are given in order to demonstrate the efficiency of the conament implementation. 1. IN...
متن کاملOn Primality of the Smarandache Symmetric Sequences
The study of primality for the Smarandache sequences represents a recent research direction on the Smarandache type notions. A few articles that were published recently deal with the primality of the direct and reverse Smarandache sequences. The primality of Smarandache symmetric sequences has not been studied yet. This article proposes some results concerning the non-primality of these symmetr...
متن کامل