  Inspired by a famous identity of Ramanujan, we propose a general formula
linearizing the convolution of Dirichlet series as the sum of Dirichlet series
with modified weights; its specialization produces new identities and recovers
several identities derived earlier in the literature, such as the convolution
of squares of Bernoulli numbers by A. Dixit and collaborators, or the
convolution of Bernoulli numbers by Y. Komori and collaborators.
