Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae

Details Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae

2007-12-06

arxiv.org/abs/0712.1046v1

Mathematics

Number Theory

15 pages

Scientific paper

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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