1 citations · 1 across the 5 of their papers we have counts for
4 papers · 1 filter
Roots of Chebyshev Polynomials: a purely algebraic approach
Lionel Ponton
By using purely algebraic tools, we establish well-known properties of roots of Chebyshev polynomials. Especially, we show that these zeros are simple and lie in and we pr…
The Calkin-Wilf tree of a quadratic surd
Lionel Ponton
By using the Calkin-Wilf tree, we prove the irrationality of numbers of the form where is a positive integer which is not a perfect square, is a ra…
L'équation diophantienne
Lionel Ponton
On propose une méthode de résolution effective de l'équation diophantienne où et sont des entiers naturels non nuls et premiers entre eux. Cette méthod…
Two trees enumerating the positive rationals
Lionel Ponton
We give two trees allowing to represent all positive rational numbers. These trees can be seen as ternary and quinary analogues of the Calkin-Wilf tree. For each of these two trees…