Abstract
We prove that the Bernoulli numbers satisfy some special lower triangular Toeplitz systems of linear equations. One of these systems has a strong link with eleven Ramanujan’s linear equations satisfied by the first eleven Bernoulli numbers.
Please cite this work as:
@article{difiore2016lower,
title={Lower triangular Toeplitz--Ramanujan systems whose solution yields the Bernoulli numbers},
author={Di Fiore, Carmine and Tudisco, Francesco and Zellini, Paolo},
journal={Linear Algebra and its Applications},
volume={496},
pages={510--526},
year={2016},
publisher={Elsevier}
}