Solution of Two Questions concerning the Divisor Function and the Pseudo- Smarandache Function
نویسنده
چکیده
In this paper we completely solve two questions concerning the divisor function and the pseudo Smarandache function.
منابع مشابه
On the mean value of the Pseudo-Smarandache function
For any positive integer n, the Pseudo-Smarandache function Z(n) is defined as the smallest positive integer k such that n | k(k + 1) 2 . That is, Z(n) = min { k : n| + 1) 2 } . The main purpose of this paper is using the elementary methods to study the mean value properties of p(n) Z(n) , and give a sharper asymptotic formula for it, where p(n) denotes the smallest prime divisor of n.
متن کاملSolutions To Some Sastry Problems On Smarandache Number Related Triangles
In his recent paper[l], Sastry defines two triangles T(a,b,c) and T(a',b',c') to be Smarandache related ifS(a) = Sea'), S(b) = S(b') and S(c) = S(c'). The function S is known as the Smarandache function and is defmed in the following way. For n any integer greater than zero, the value of the Smarandache function Sen) is the smallest integer m such that n divides m!. He closes the paper by askin...
متن کاملPseudo Steady State Gas Flow in Tight Reservoir under Dual Mechanism Flow
Gas reservoirs with low permeability (k<0.1 mD) are among the unconventional reservoirs and are commonly termed as "Tight Gas Reservoirs". In conventional gas reservoirs that have high permeability, the flow of gas is basically controlled by the reservoir permeability and it is calculated using the Darcy equation. In these reservoirs, gas flow due to gas diffusion is ignored compared to Dar...
متن کاملThe Pseudo-smarandache Function
The Pseudo-Smarandache Function is part of number theory. The function comes from the Smarandache Function. The Pseudo-Smarandache Function is represented by Z(n) where n represents any natural number. The value for a given Z(n) is the smallest integer such that 1+2+3+ . . . + Z(n) is divisible by n. Within the Pseudo-Smarandache Function, there are several formulas which make it easier to find...
متن کاملSome identities involving the near pseudo Smarandache function
For any positive integer n and fixed integer t ≥ 1, we define function Ut(n) = min{k : 1 t + 2 t + · · · + n t + k = m, n | m, k ∈ N + , t ∈ N + }, where n ∈ N + , m ∈ N + , which is a new pseudo Smarandache function. The main purpose of this paper is using the elementary method to study the properties of Ut(n), and obtain some interesting identities involving function Ut(n). In reference [1], ...
متن کامل