In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a Liouville number or a rational number under certain conditions
AbstractWe show that the values of the Carlitz–Goss Gamma function for Fq[X] are transcendental over...
In this work, we determine the trallscendence measure of the formal Laurent series "that" [...
We talk of rational numbers, irrational numbers, algebraic numbers, transcendental num-bers and brie...
In this paper, we prove that some power series with rational coefficients take either values of rati...
Recently, Laohakosol and Sripayap (East-West J. Math.19 (2017) 65-79) considered certain Cantor-like...
In 1932, Mahler introduced a classification of transcendental numbers that pertained to both complex...
The main results of this paper give several criteria for certain infinite series of rational numbers...
AbstractThe formal power series[formula]is transcendental over Q(X) whentis an integer ≥2. This is d...
In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to...
AbstractIt is shown that sums and products of strong Liouville numbers are Liouville numbers (or rat...
AbstractWe give algebraic proofs of transcendence over Q(X) of formal power series with rational coe...
In this diploma thesis we first present real numbers and the two divisions of the set of real number...
In this work we shall discuss about Liouville Numbers, a special set of transcendental numbers. The ...
We consider some lacunary power series with rational coefficients in Q(p). We show that under certai...
Questions on parities play a central role in analytic number theory. Properties of the partial sums ...
AbstractWe show that the values of the Carlitz–Goss Gamma function for Fq[X] are transcendental over...
In this work, we determine the trallscendence measure of the formal Laurent series "that" [...
We talk of rational numbers, irrational numbers, algebraic numbers, transcendental num-bers and brie...
In this paper, we prove that some power series with rational coefficients take either values of rati...
Recently, Laohakosol and Sripayap (East-West J. Math.19 (2017) 65-79) considered certain Cantor-like...
In 1932, Mahler introduced a classification of transcendental numbers that pertained to both complex...
The main results of this paper give several criteria for certain infinite series of rational numbers...
AbstractThe formal power series[formula]is transcendental over Q(X) whentis an integer ≥2. This is d...
In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to...
AbstractIt is shown that sums and products of strong Liouville numbers are Liouville numbers (or rat...
AbstractWe give algebraic proofs of transcendence over Q(X) of formal power series with rational coe...
In this diploma thesis we first present real numbers and the two divisions of the set of real number...
In this work we shall discuss about Liouville Numbers, a special set of transcendental numbers. The ...
We consider some lacunary power series with rational coefficients in Q(p). We show that under certai...
Questions on parities play a central role in analytic number theory. Properties of the partial sums ...
AbstractWe show that the values of the Carlitz–Goss Gamma function for Fq[X] are transcendental over...
In this work, we determine the trallscendence measure of the formal Laurent series "that" [...
We talk of rational numbers, irrational numbers, algebraic numbers, transcendental num-bers and brie...
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