3 papers
math.NT2024
Some properties of the generalized p-adic gamma function
Rafik Belhadef, Nour Elhouda Sahali
In this paper, we define a q-adic factorial and we demonstrate some properties of a generalized p-adic gamma function. Also, some numerical examples have been given
math.NT2024
On the complexity of p-adic continued fractions of rational number
Rafik Belhadef, Henri-Alex Esbelin
In this paper, we study the complexity of p-adic continued fractions of a rational number, which is the p-adic analogue of the theorem of Lame. We calculate the length of Browkin e…
math.NT2023
Periodicity of p-adic Expansion of Rational Number
R. Belhadef, H-A. Esbelin
In this paper we give an algorithm to calculate the coefficients of the p-adic expansion of a rational numbers, and we give a method to decide whether this expansion is periodic or…