M. Ghorbel

On the fractional part of the sum and product of two p-adic β-integers 

M. Ghorbel, S. Zouari

In this paper: This paper aims to explore arithmetic properties in the set of p-adic β-integers. We show that the quantities Lʘ and L⊕ are finite if β is an algebraic integer of odd degree. Here, Lʘ (resp. L⊕) denot...