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Coloured shuffle compatibility, Hadamard products, and ask zeta functions

Carnevale, Angela
; 
Moustakas, Vassilis Dionyssis
; 
Rossmann, Tobias

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https://hdl.handle.net/10379/18929
 https://doi.org/10.13025/29723

Date

2025-05-05

Keywords

Hadamard products

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journal article

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Citation

Carnevale, Angela, Moustakas, Vassilis Dionyssis, & Rossmann, Tobias. Coloured shuffle compatibility, Hadamard products, and ask zeta functions. Bulletin of the London Mathematical Society, https://doi.org/10.1112/blms.70081

Abstract

We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so-called ask zeta functions of direct sums of modules of matrices or class- and orbit-counting zeta functions of direct products of nilpotent groups. Our method relies on shuffle compatibility of coloured permutation statistics and coloured quasisymmetric functions, extending recent work of Gessel and Zhuang.

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College of Science and Engineering, University of Galway

Publisher

Wiley

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License

CC BY

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