2 papers
math.NT2024
On the transcendence of some operations of infinite series
Sarra Ahallal, Fedoua Sghiouer, Ali Kacha
In the present paper and as an application of Roth's theorem concerning the rational approximation of algebraic numbers, we give a sufficient condition that will assure us that a s…
math.NT2023
Transcendence of some infinite series
Fedoua Sghiouer, Kacem Belhroukia, Ali Kacha
In the present paper and as an application of Roth's theorem concerning the rational approximation of algebraic numbers, we give a sufficient condition that will assure us that a s…