Enumeration of parallelogram polycubes

Authors

  • Abderrahim Arabi USTHB, Faculty of Mathematics, RECITS Laboratory, BP 32\\ El Alia 16111, Bab Ezzouar, Algiers, Algeria
  • Hacène Belbachir University of Science and Technology Houari Boumediene USTHB/CERIST
  • Jean-Philippe Dubernard University of Rouen-Normandie

DOI:

https://doi.org/10.55016/ojs/cdm.v20i2.75407

Abstract

In this paper, we give the Dirichlet generating function of parallelogram polycubes according to the volume and the width in terms of multivariate zeta functions. We also enumerate them according to the width, the length and the depth. All these results are generalized to polyhypercubes.

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Published

2025-10-28

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Section

Articles