• Corpus ID: 219966501

Zeta functions of integral nilpotent quiver representations

@article{Lee2020ZetaFO,
  title={Zeta functions of integral nilpotent quiver representations},
  author={Seungjai Lee and Christopher Voll},
  journal={arXiv: Rings and Algebras},
  year={2020}
}
We introduce and study zeta functions enumerating subrepresentations of integral quiver representations. For nilpotent such representations defined over number fields, we exhibit a homogeneity condition that we prove to be sufficient for local functional quations of the generic Euler factors of these zeta functions. This generalizes and unifies previous work on submodule zeta functions including, specifically, ideal zeta functions of nilpotent (Lie) rings and their graded analogues. 

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