Directory UMM :Journals:Journal_of_mathematics:OTHER:
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In this paper we study several arithmetic functions connected with the exponen- tial divisors of integers.. We establish some asymptotic formulas under the Riemann hypothesis,
Moreover, as we already remarked, the problem of establishing if a rational generating function defines a non-negative sequence of integers is undecidable, and then if we want to
The present material refers to an example of matrix functions, the exponential matrix function, used as a plane rotation operator.. In the case of the plane rotations we shall
In [4], to precisely dene and easily investigate the Riemann function, we have introduced the following two interesting functions dened only for rational numbers.... Finally,
We begin with an introductory section, where we define what this article will understand as a generalized Pascal matrix, as well as looking at the binomial transform, the Riordan
In order to obtain the generating function, we first show that our sequences satisfy a linear recurrence relation modulo k... We proceed by strong induction
In this note, we analize the context in which the calculation of limits of sequences is performed using the integration of product of Riemann integrable functions.. We will also
For several of these rational arguments, closed-form expressions are given in terms of simpler transcendental functions, like the logarithm, the polygamma function, and the Riemann
