English

Note on a double binomial sum relevant to the Hadamard maximal determinant problem

Combinatorics 2013-09-13 v2

Abstract

We prove a double binomial sum identity which differs from most binomial sum identities in that the summands involve the absolute value function. The identity is of interest because it can be used in proofs of lower bounds for the Hadamard maximal determinant problem. Our proof of the identity uses a two-variable variant of the method of telescoping sums.

Keywords

Cite

@article{arxiv.1309.2795,
  title  = {Note on a double binomial sum relevant to the Hadamard maximal determinant problem},
  author = {Richard P. Brent and Judy-anne H. Osborn},
  journal= {arXiv preprint arXiv:1309.2795},
  year   = {2013}
}

Comments

6 pages. Typo (page 4, line 2) corrected in v2

R2 v1 2026-06-22T01:24:50.441Z