The divisibility of the Smarandache combinatorial sequence of degree three;

On a divisibility relation of σ(n) and φ(n);

On a divisibility relation of two arithmetic functions;

The translation invariance of divide exactly on the integral coefficients polynomial

This text that make use of the order of matrix gives outs the unitary polynomials divide exactly theorem of judgment; And give a simple and convenient method about quotient s type at the same time.

This paper discusses and demonstrates the integer solution of indeterminate equation x 2+y 2=m using the knowledge of exact division and congruence from another angle.

It s an important method to judge the matter of exact division by using the characteristics of exact division of Number in the field of Number Theory.

An Improvement on the Judgment of C_n~m Divisible by A Prime Number;

This article introduces four methods to solve the divisible problems of numbers.

This paper presents a divisible question for a continuance integer by a relative number .

In this paper,a definition of polynomial highest term and a law of polynomial integral division have been given.

The integral division in the ring-Z_m of remanent class, the matrix elementary operation and determinant operator on Z_m are given.