Cihan Karabulut

collaborators

3 papers

math.NT2021

From Binary Hermitian Forms to parabolic cocycles of Euclidean Bianchi groups

Cihan Karabulut

We study a family of functions defined in a very simple way as sums of powers of binary Hermitian forms with coefficients in the ring of integers of an Euclidean imaginary quadrati…

math.NT2020

The distribution of the generalized greatest common divisor and visibility of lattice points

Jorge Flórez, Cihan Karabulut, Elkin Quintero Vanegas

For a fixed $b \in N = {1, 2, 3, \dots}$ , Goins et al. \cite{Harris} defined the concept of $b$ -visibility for a lattice point $(r, s)$ in $L = N \times N$ which…

math.NT2020

Eisenstein series whose Fourier coefficients are zeta functions of binary Hermitian forms

Jorge Flórez, Cihan Karabulut, An Hoa Vu

In this paper we investigate a result of Ueno on the modularity of generating series associated to the zeta functions of binary Hermitian forms previously studied by Elstrodt et al…