Quasi-polynomial valuations of lattice polytopes

@misc{pukhlikov2026quasipolynomial,
  title = {{Quasi-polynomial valuations of lattice polytopes}},
  author = {Aleksandr V. Pukhlikov},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00313},
  eprint = {2611.00313},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00313},
}

TY  - UNPB
TI  - Quasi-polynomial valuations of lattice polytopes
AU  - Aleksandr V. Pukhlikov
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00313
UR  - https://arxiv.org/abs/2611.00313
AB  - We prove that for any valuation φ of lattice polytopes in ℝ^m, which is quasi-polynomial with respect to ℤ^m-translations, and any lattice polytope P, the function φ(nP) is quasi-polynomial in n.
ER  -