A. Abdesselam

activity

19972026

most citedRigorous quantum field theory functional integrals over the p-adics I: anomalous dimensions

24 citations · 44 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.CO2024

Bessenrodt--Ono inequalities for $ℓ$ -tuples of pairwise commuting permutations

Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser

Let $S_{n}$ denote the symmetric group. We consider \begin{equation*} N_{\ell}(n) := \frac{\left\vert Hom\left( \mathbb{Z}^{\ell},S_n\right) \right\vert}{n!} \end{equation*} which al…

math.AC2024

A combinatorial formula for the coefficients of multidimensional resultants

Abdelmalek Abdesselam

The classical multidimensional resultant can be defined as the, suitably normalized, generator of a projective elimination ideal in the ring of universal coefficients. This is the…

math.CO2024

On a mod $3$ property of $ℓ$ -tuples of pairwise commuting permutations

Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser

Let $S_{n}$ denote the symmetric group of permutations acting on $n$ elements. We investigate the double sequence ${N_{ℓ} (n)}$ counting the number of $ℓ$ tuples of elements o…

Bessenrodt--Ono inequalities for ℓ-tuples of pairwise commuting permutations

A combinatorial formula for the coefficients of multidimensional resultants

On a mod 3 property of ℓ-tuples of pairwise commuting permutations

Bessenrodt--Ono inequalities for $ℓ$ -tuples of pairwise commuting permutations

On a mod $3$ property of $ℓ$ -tuples of pairwise commuting permutations