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math.RA2020
Linear relations with disjoint supports and average sizes of kernels
Angela Carnevale, Tobias Rossmann
We study the effects of imposing linear relations within modules of matrices on average sizes of kernels. The relations that we consider can be described combinatorially in terms o…
math.RA2019★ 6 cited
Generalized Igusa functions and ideal growth in nilpotent Lie rings
Angela Carnevale, Michael M. Schein, Christopher Voll
We introduce a new class of combinatorially defined rational functions and apply them to deduce explicit formulae for local ideal zeta functions associated to the members of a larg…