Polylogarithms, hyperfunctions and generalized Lipschitz summation formulae

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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.
15 pages

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Number Theory, Mathematical Physics, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/144196

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.1046
 http://arxiv.org/abs/0712.1046

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arXiv