Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers

Carmine Di Fiore, Francesco Tudisco, Paolo Zellini

Linear Algebra and its Applications, vol. 496, pp. 510–526, 2016

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.

DOI·Arxiv·Cite