Hypergeometric-like Representation of the Zeta-Function of Riemann
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We present a new expansion of the zeta-function of Riemann. The current formalism -- which combines both the idea of interpolation with constraints and the concept of hypergeometric functions -- can, in a natural way, be generalised within the theory of the zeta-function of Hawking offering thus a variety of applications in quantum field theory, quantum cosmology and statistical mechanics.
Cite
@article{arxiv.math-ph/0105007,
title = {Hypergeometric-like Representation of the Zeta-Function of Riemann},
author = {Krzysztof Maslanka},
journal= {arXiv preprint arXiv:math-ph/0105007},
year = {2007}
}