黎曼函数的近似

Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-20 DOI:10.1080/02781070412331331491

P. Gauthier, N. Tarkhanov

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引用次数: 7

摘要

任何具有最简单极点的亚纯函数都可以用黎曼ζ函数的平移的线性组合来近似。特别地，任意全纯函数都可以这样逼近。如果允许对函数求导，则可以近似任意亚纯函数。

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Approximation by the Riemann zeta-function

Any meromorphic function having at most simple poles can be approximated by linear combinations of translates of the Riemann zeta-function. In particular, an arbitrary holomorphic function can be so approximated. If derivatives of the zeta-function are allowed, then arbitrary meromorphic functions can be approximated.

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Complex Variables, Theory and Application: An International Journal

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