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Value-Distribution of L-Functions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Steuding, Jrn 作者

Springer Verlag

译者

出版日期

336 页数

$ 90.34 价格

Pap

丛书系列

9783540265269 图书编码

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发表于2024-09-21

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Value-Distribution of L-Functions 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. In 1975, Voronin proved that any non-vanishing analytic function can be approximated uniformly by certain shifts of the Riemann zeta-function in the critical strip. This spectacular universality property has a strong impact on the zero-distribution: Riemanna (TM)s hypothesis is true if and only if the Riemann zeta-function can approximate itself uniformly (in the sense of Voronin). Meanwhile universality is proved for a large zoo of Dirichlet series, and it is conjectured that all reasonable L-functions are universal. In these notes we prove universality for polynomial Euler products. Our approach follows mainly Bagchi's probabilistic method. We further discuss related topics as, e.g., almost periodicity, density estimates, Nevanlinna theory, and functional independence.

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