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math.NT2026
On the 3-adic Valuation of a Cubic Binomial Sum
Valentio Iverson
In this short note, we prove a conjecture recently posed by Alekseyev, Amdeberhan, Shallit, and Vukusic on the 3-adic valuation of a cubic binomial sum.
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
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 in e…