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Value-Distribution of L-Functions (Lecture Notes in Mathematics) [Paperback]

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Item description for Value-Distribution of L-Functions (Lecture Notes in Mathematics) by Jörn Steuding...

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: Riemann'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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Item Specifications...


Pages   322
Est. Packaging Dimensions:   Length: 9.21" Width: 6.22" Height: 0.79"
Weight:   1.15 lbs.
Binding  Softcover
Release Date   Jul 20, 2007
Publisher   Springer
ISBN  3540265260  
ISBN13  9783540265269  


Availability  139 units.
Availability accurate as of Mar 24, 2017 06:30.
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