Christian Krattenthaler

activity

20002025

most citedOn the integrality of the Taylor coefficients of mirror maps

21 citations · 58 across the 10 of their papers we have counts for

collaborators

10 papers

math.NT2025

An Orthogonal View of Gaußian 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.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…

math.CO2024

A generalization of conjugation of integer partitions

Seamus Albion, Theresia Eisenkölbl, 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.AC2023

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.NT2020★ 1 cited

Lucas congruences for the Apéry numbers modulo $p^{2}$

Eric Rowland, Reem Yassawi, Christian Krattenthaler

The sequence $A (n)_{n \geq 0}$ of Apéry numbers can be interpolated to $C$ by an entire function. We give a formula for the Taylor coefficients of this function, centered…

math.NT2009

On the integrality of the Taylor coefficients of mirror maps, II