Hypergeometric-like Representation of the Zeta-Function of Riemann

Details Hypergeometric-like Representation of the Zeta-Function of Riemann Hypergeometric-like Representation of the Zeta-Function of Riemann

2001-05-04

arxiv.org/abs/math-ph/0105007v1

Physics

Mathematical Physics

Scientific paper

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.

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