Gian Cordana Sanjaya

collaborators

4 papers

math.NT2025

Multiplicatively dependent integer vectors on a hyperplane

Muhammad Afifurrahman, Valentio Iverson, Gian Cordana Sanjaya

We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed hyperplane and have bounded height. This w…

math.NT2025

Density of Special Classes of Polynomials with Squarefree Discriminant

Gian Cordana Sanjaya

In this paper, we consider the problem of determining the density of monic polynomials over $Z_{p}$ with squarefree discriminant over various subsets of the set of monic pol…

math.NT2025

Squarefree discriminants of polynomials with prime coefficients

Valentio Iverson, Gian Cordana Sanjaya, Xiaoheng Wang

In this paper, we consider the family of monic polynomials with prime coefficients and the family of all polynomials with prime coefficients. We determine the number of $f (x)$ in e…

math.NT2021

On the squarefree values of $a^{4} + b^{3}$

Gian Cordana Sanjaya, Xiaoheng Wang

In this article, we prove that the density of integers $a, b$ such that $a^{4} + b^{3}$ is squarefree, when ordered by $max {∣ a ∣^{1/3}, ∣ b ∣^{1/4}}$ , equals the conjectured product of th…

Multiplicatively dependent integer vectors on a hyperplane

Density of Special Classes of Polynomials with Squarefree Discriminant

Squarefree discriminants of polynomials with prime coefficients

On the squarefree values of a4+b3

On the squarefree values of $a^{4} + b^{3}$