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On joint approximation of analytic functions by nonlinear shifts of zeta-functions of certain cusp forms

机译:Zeta函数非线性偏移的分析功能的关节逼近

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摘要

In the paper, joint discrete universality theorems on the simultaneous approximation of a collection of analytic functions by a collection of discrete shifts of zeta-functions attached to normalized Hecke-eigen cusp forms are obtained. These shifts are defined by means of nonlinear differentiable functions that satisfy certain growth conditions, and their combination on positive integers is uniformly distributed modulo 1.
机译:在本文中,获得了在附着于标准化的Hecke-EIGEN形式的Zeta函数的离散移位的分析函数同时逼近的关节离散普遍性定理。 这些换档通过满足某些生长条件的非线性可微分功能来定义,并且它们对正整数的组合是均匀分布的模数1。

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