Jorge Fl'orez

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math.NT2024

$p$ -adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$ -adic interpolation

Jorge Flórez

We establish integrality and congruence properties for the Eisenstein-Kronecker cocycle of Bergeron, Charollois and García introduced in [arXiv:2107.01992v2 [math.NT]]. As a conseq…

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…

p-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and p-adic interpolation

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

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

$p$ -adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$ -adic interpolation