English

Determinants of matrices related to the Pascal triangle

Number Theory 2022-10-25 v1 Combinatorics

Abstract

In this note we prove an assertion made by M. Levin in 1999: the Pascal matrix modulo 2 has the property that each of the square sub-matrices laying on the upper border or on the left border has determinants, computed in Z\mathbb{Z}, equal to 1 or -1.

Keywords

Cite

@article{arxiv.2210.12913,
  title  = {Determinants of matrices related to the Pascal triangle},
  author = {Martín Mereb},
  journal= {arXiv preprint arXiv:2210.12913},
  year   = {2022}
}

Comments

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R2 v1 2026-06-28T04:18:59.527Z