Christian Krattenthaler

collaborators

4 papers

math.NT2025

An Orthogonal View of GauÃian Polynomials

Christian Krattenthaler, Brandt Kronholm, Paul Marsh

We establish an alternative, ``perpendicular" collection of generating functions for the coefficients of Gaussian polynomials, $[N + m m]_{q}$ . We provide a…

math.AC2025

On the Hilbert depth of monomial ideals

Silviu Balanescu, Mircea Cimpoeas, Christian Krattenthaler

Let $S = K [x_{1}, \dots, x_{n}]$ be the ring of polynomials over a field $K$ . Given two monomial ideals $0 \subset I ⊊ J \subset S$ , we present a new method to compute the Hilbert…

math.CO2025

A generalization of conjugation of integer partitions

Seamus Albion, Theresia EisenkÃ¶lbl, Ilse Fischer +4

We exhibit, for any positive integer parameter $s$ , an involution on the set of integer partitions of $n$ . These involutions show the joint symmetry of the distributions of the fol…

math.NT2025

Arithmetic properties of the Taylor coefficients of differentially algebraic power series

Christian Krattenthaler, Tanguy Rivoal

Let $f = \sum_{n = 0}^{\infty} f_{n} x^{n} \in Q [[x]$ be a solution of an algebraic differential equation $Q (x, y (x), \dots, y^{(k)} (x)) = 0$ , where $Q$ is a multivariate po…

An Orthogonal View of GauÃian Polynomials

On the Hilbert depth of monomial ideals

A generalization of conjugation of integer partitions

Arithmetic properties of the Taylor coefficients of differentially algebraic power series

An Orthogonal View of GauÃian Polynomials