Riemann ζ函数的类超几何表示
Hypergeometric-like Representation of the Zeta-Function of Riemann
摘要:
我们提出了一个新的扩展的ζ函数的黎曼。目前的形式主义-它结合了插值与约束的思想和超几何函数的概念-可以以一种自然的方式,在霍金的ζ函数理论中推广,从而在量子场论,量子宇宙学和统计力学中提供各种应用。
英文摘要:
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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