4 papers
InfoMod: A visual and computational approach to Gauss' binary quadratic forms
Ayberk Zeytin, Hakan Ayral, A. Muhammed Uludağ
InfoMod is a new software and application devoted to the modular group, PSL2(Z). It has algorithms that deals with the classical correspondences among continued fractions, geodesic…
Multivariate Lucas Polynomials and Ideal Classes in Quadratic Number Fields
Ayberk Zeytin
In this work, by using Pauli matrices, we introduce four families of polynomials indexed over the positive integers. These polynomials have rational or imaginary rational coefficie…
A panaroma of the fundamental group of the modular orbifold
A. Muhammed Uludağ, Ayberk Zeytin
We give an overview of the category of subgroups of the modular group, incorporating both the tame part, i.e. finite index subgroups, and the non-tame part, i.e. the rest. We also…
Binary quadratic forms as dessins
A. Muhammed Uludağ, Ayberk Zeytin, Merve Durmuş
We show that the class of every primitive indefinite binary quadratic form is naturally represented by an infinite graph (named çark) with a unique cycle embedded on a conformal an…