A matrix variation on Ramus's identity for lacunary sums of binomial coefficients
Number Theory
2017-04-04 v1
Abstract
We study the well-known lacunary sums of binomial coefficients considered, most notably, by Christian Ramus, and their connection to a special kind of harmonic number associated with the first case of Fermat's Last Theorem. For one case of Ramus's famous identity we obtain a variation in which some of the parameters are replaced by square matrices of arbitrary dimension.
Keywords
Cite
@article{arxiv.1610.09361,
title = {A matrix variation on Ramus's identity for lacunary sums of binomial coefficients},
author = {John Blythe Dobson},
journal= {arXiv preprint arXiv:1610.09361},
year = {2017}
}