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arXiv · 0712.1046

Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae

Stefano Marmi·Piergiulio Tempesta
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Abstract

A 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.

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Stefano Marmi, Piergiulio Tempesta. 2007-12-06. Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae. https://arxiv.org/abs/0712.1046

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