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We prove a double binomial sum identity which differs from most binomial sum identities in that the summands involve the absolute value function.
T. A. Brown and J. H. Spencer, Minimization of ± 1 \pm 1 matrices under line shifts, Colloq. Math. 23
1971
Earlier work this paper cites.
Anonymous, Putnam Competition, 1974, http://www.math-olympiad.com/35th-putnam-mathematical-competition-1974-problems.htm
1974
Earlier work this paper cites.
P. Erdős and J. Spencer, Probabilistic Methods in Combinatorics , Akadémiai Kiadó, Budapest, 1974. Also published by Academic Press, New York, 1974
1974
Cited alongside, same era.
M. R. Best, The excess of a Hadamard matrix, Nederl. Akad. Wetensch. Proc. Ser. A 80
1977
Cited alongside, same era.
R. P. Brent, J. H. Osborn and W. D. Smith, Improved lower bounds on maximal determinants of ± 1 \pm 1 matrices via the probabilistic method , in preparation
Cited in the paper.
N. Alon and J. H. Spencer, The Probabilistic Method , 3rd edn., Wiley, 2008
2008
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2013
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