Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae
Number Theory
2007-12-16 v1 Mathematical Physics
Complex Variables
math.MP
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.
Keywords
Cite
@article{arxiv.0712.1046,
title = {Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae},
author = {Stefano Marmi and Piergiulio Tempesta},
journal= {arXiv preprint arXiv:0712.1046},
year = {2007}
}
Comments
15 pages