Zeta

Zeta provides methods for computing topological zeta functions arising from the enumeration of subalgebras, ideals, submodules, and representations of suitable algebraic structures. For theoretical background and descriptions of the methods used, see [1,2,3]. Zeta is distributed as a Python-package for the computer algebra system Sage. This work is supported by the DFG Priority Programme “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory” (SPP 1489).

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References in zbMATH (referenced in 9 articles )

Showing results 1 to 9 of 9.
Sorted by year (citations)

  1. Carnevale, Angela; Schein, Michael M.; Voll, Christopher: Generalized Igusa functions and ideal growth in nilpotent Lie rings (2020)
  2. Macedo Lins de Araujo, Paula: Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes. II: Groups of type (F), (G), and (H) (2020)
  3. Macedo Lins de Araujo, Paula: Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes. I: Arithmetic properties (2019)
  4. Carnevale, Angela; Shechter, Shai; Voll, Christopher: Enumerating traceless matrices over compact discrete valuation rings (2018)
  5. Rossmann, Tobias: A framework for computing zeta functions of groups, algebras, and modules (2017)
  6. Rossmann, Tobias: Enumerating submodules invariant under an endomorphism (2017)
  7. Rossmann, Tobias: Topological representation zeta functions of unipotent groups (2016)
  8. Rossmann, Tobias: Computing topological zeta functions of groups, algebras, and modules. I (2015)
  9. Rossmann, Tobias: Computing topological zeta functions of groups, algebras, and modules. II. (2015)