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The relation between fixed point and orbit count sequences is investigated from the point of view of linear mappings on the space of arithmetic functions.. Puri and Ward [ 10 ]
We establish several basic properties of the Pfaffian transform, and we use the transfer matrix method to show that the set of sequences with rational generating functions is
We then give several examples of self-generating sets whose expansions in a certain base are characterized by sequences of integers with missing blocks of digits.. This expands
The following list provides different ways of constructing new valid bases.. In all the cases below, we will proceed by induction
In this paper we study the action of the Binomial and Invert (interpolated) operators on the set of linear recurrent sequences.. We prove that these operators preserve this set, and
INTEGERS 11 (2011) 3 the number of lattice points modulo n is also an additive function, we obtain that the number of lattice points is equivalent to exactly χ ( T ) (mod n).
At each iteration, we are dealing with linear problems and obtain a monotone sequence of solutions of linear problems which converges to a solution of the original nonlinear
We are going first to establish a formal procedure for the separation of motions in non-linear systems with strong fast excitation in its most general form based on the multiple
