## Currently displaying 1 – 19 of 19

Showing per page

Order by Relevance | Title | Year of publication

Acta Arithmetica

Acta Arithmetica

### Quasi-permutation polynomials

Czechoslovak Mathematical Journal

A quasi-permutation polynomial is a polynomial which is a bijection from one subset of a finite field onto another with the same number of elements. This is a natural generalization of the familiar permutation polynomials. Basic properties of quasi-permutation polynomials are derived. General criteria for a quasi-permutation polynomial extending the well-known Hermite's criterion for permutation polynomials as well as a number of other criteria depending on the permuted domain and range are established....

### The positivity problem for fourth order linear recurrence sequences is decidable

Colloquium Mathematicae

The problem whether each element of a sequence satisfying a fourth order linear recurrence with integer coefficients is nonnegative, referred to as the Positivity Problem for fourth order linear recurrence sequence, is shown to be decidable.

### Some logarithmic functional equations

The functional equation $f\left(y-x\right)-g\left(xy\right)=h\left(1/x-1/y\right)$ is solved for general solution. The result is then applied to show that the three functional equations $f\left(xy\right)=f\left(x\right)+f\left(y\right)$, $f\left(y-x\right)-f\left(xy\right)=f\left(1/x-1/y\right)$ and $f\left(y-x\right)-f\left(x\right)-f\left(y\right)=f\left(1/x-1/y\right)$ are equivalent. Finally, twice differentiable solution functions of the functional equation $f\left(y-x\right)-{g}_{1}\left(x\right)-{g}_{2}\left(y\right)=h\left(1/x-1/y\right)$ are determined.

### Combinatorial aspects of the generalized Euler's totient.

International Journal of Mathematics and Mathematical Sciences

### Completely multiplicative functions arising from simple operations.

International Journal of Mathematics and Mathematical Sciences

### Multiply integer-valued polynomials in a Galois field.

Bulletin of the Malaysian Mathematical Society. Second Series

Page 1