• Corpus ID: 85517320

Generalized Igusa functions and ideal growth in nilpotent Lie rings

@article{Carnevale2019GeneralizedIF,
  title={Generalized Igusa functions and ideal growth in nilpotent Lie rings},
  author={Angela Carnevale and Michael M. Schein and Christopher Voll},
  journal={arXiv: Rings and Algebras},
  year={2019}
}
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 large class of nilpotent Lie rings which contains the free class-2-nilpotent Lie rings and is stable under direct products. Our results unify and generalize a substantial number of previous computations. We show that the new rational functions, and thus also the local zeta functions under consideration, enjoy a self… 
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