2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144196A generalization of the classical Lipschitz summation formula is proposed. It involves new polylogarithmic rational functions constructed via the Fourier expansion of certain sequences of Bernoulli--type polynomials. Related families of one--dimensional hyperfunctions are also constructed.15 pagesNumber TheoryMathematical PhysicsComplex Variablestext