Uniform Distribution of Second-Order Linear Recurring Sequences

Uniform Distribution of Second-order Linear Recurring Sequences

A complete classification is obtained for all second-order linear recurring sequences uniformly distributed modulo an ideal of a Dedekind domain.

Intersections of Second - Order Linear Recursive Sequences

Positivity of second order linear recurrent sequences

We give an elementary proof for the Positivity Problem for second order recurrent sequences: it is decidable whether or not a recurrent sequence defined by un = aun−1 + bun−2 has only nonnegative terms.

On the stability of linear differential equations of second order

The aim of this paper is to investigate the Hyers-Ulam stability of the  linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$  $fin C[a,b]$ and $-infty

Primitive Prime Factors in Second-order Linear Recurrence Sequences

For a class of Lucas sequences {xn}, we show that if n is a positive integer then xn has a primitive prime factor which divides xn to an odd power, except perhaps when n = 1, 2, 3 or 6. This has several desirable consequences.