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

@article{Malanka2001HypergeometriclikeRO, title={Hypergeometric-like Representation of the Zeta-Function of Riemann}, author={Krzysztof D. Maślanka}, journal={arXiv: Mathematical Physics}, year={2001} }

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.

## 17 Citations

### Other representations of the Riemann Zeta function and an additional reformulation of the Riemann Hypothesis

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### A FRACTIONAL NEWTON SERIES FOR

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In recent years much attention has been given to Newton series representations of a regularized Zeta function. Such representations are limited as they do not lead to a series expansion for the Zeta…

### A FRACTIONAL NEWTON SERIES FOR THE RIEMANN ZETA FUNCTION

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In recent years much attention has been given to Newton series representations of a regularized Zeta function. Such representations are limited as they do not lead to a series expansion for the Zeta…

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### On Maslanka's Representation for the Riemann Zeta Function

- MathematicsInt. J. Math. Math. Sci.
- 2010

A rigorous proof is given of the hypergeometric-like representation of the Riemann zeta function 𝜁(𝑠) discovered by Maslanka as a series of Pochhamer polynomials with coefficients depending on the…

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