10 citations · 23 across the 14 of their papers we have counts for
14 papers
The number system in rational base and the problem
Shalom Eliahou, Jean-Louis Verger-Gaugry
The representation of numbers in rational base was introduced in 2008 by Akiyama, Frougny & Sakarovitch, with a special focus on the case . Unnoticed since then, nat…
A Non-Trivial Minoration for the Set of Salem Numbers
Jean-Louis Verger-Gaugry
The set of Salem numbers is proved to be bounded from below by where , , is the unique root in of the trinomial . L…
On a class of lacunary almost Newman polynomials modulo p and density theorems
Denys Dutykh, Jean-Louis Verger-Gaugry
The reduction modulo of a family of lacunary integer polynomials, associated with the dynamical zeta function of the -shift, for close to one, is investigate…
On algebraic integers which are 2-Salem elements in positive characteristic
Mabrouk Nasr, Hassen Kthiri, Jean-Louis Verger-Gaugry
Bateman and Duquette have initiated the study of Salem elements in positive characteristic. This work extends their results to 2-Salem elements whose minimal polynomials are of the…
Alphabets, rewriting trails and periodic representations in algebraic bases
Denys Dutykh, Jean-Louis Verger-Gaugry
For a real algebraic integer ({\it the base}), the finite alphabets which realize the identity ,…
On Polynomials in Primes, Ergodic Averages and Monothetic Groups
Jean-Louis Verger-Gaugry, Jaroslav Hancl, Radhakrishnan Nair
Let denote a compact monothetic group, and let where are elements of one of which is a generator of . Let…