Khai-Hoan Nguyen-Dang

collaborators

14 papers

math.CO2026

Richardson volume models for skew Schur and skew Schur $P / Q$ -functions

Khai-Hoan Nguyen-Dang

We identify ordinary skew Schur polynomials and skew Schur $P$ -functions as top-degree total-Chern intersection polynomials on Richardson varieties in ordinary and Lagrangian Grass…

math.NT2026

Counterexamples of Friedlander--Iwaniec dual sums conjecture

Khai-Hoan Nguyen-Dang

Let $a (n)$ and $b (n)$ be arithmetic sequences, and $A (s) = n \geq 1 \sum a (n) n^{- s}, B (s) = n \geq 1 \sum b (n) n^{- s},$ be the two Dirichlet series related by a certain functional…

math.NT2026

Remarks on a theorem of Silverman

Khai-Hoan Nguyen-Dang, Quang-Khai Nguyen

Motivated by a theorem of Silverman, we consider the following problem. Let $A$ be an abelian variety over a global field $K$ . Given a non-torsion point $P \in A (K)$ , for a suffici…

math.MG2026

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue

TrÃ Minh LÃª, Khai-Hoan Nguyen-Dang

Let $I^»_{j} (K)$ be the $j$ th Dirichlet eigenvalue of a convex body $K$ . It is well known that $I^»_{1}$ satisfies a Brunn--Minkowski inequality: $K \mapsto I^»_{1} (K)^{- 1/2}$ is concave on…

math.NT2026

On the sequence $gcd (a^{n} - 1, b^{n} - 1)$

Khai-Hoan Nguyen-Dang

For integers $a, b \geq 2$ , let \[ g_n:=\gcd(a^n-1,b^n-1)\qquad(n\ge 1). \] We study the sequence $(g_{n})$ from the perspective of divisibility sequences and the Ailon--Rudnick problem…

math.NT2026

Minkowski shapes of pure number fields

Khai-Hoan Nguyen-Dang

We study the Minkowski shape of pure number fields \[ K_a=\mathbb Q(Î¸),\qquad Î¸^n=a. \] For admissible parameters satisfying an explicit local hypothesis at the primes dividing $…

Richardson volume models for skew Schur and skew Schur P/Q-functions

Counterexamples of Friedlander--Iwaniec dual sums conjecture

Remarks on a theorem of Silverman

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue

On the sequence gcd(an−1,bn−1)

Minkowski shapes of pure number fields

Richardson volume models for skew Schur and skew Schur $P / Q$ -functions

On the sequence $gcd (a^{n} - 1, b^{n} - 1)$