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Value-Distribution of L-Functions
Paperback
Series: Lecture Notes in Mathematics, Book 1877
General MathematicsProbability & Statistics
ISBN13: 9783540265269
Publisher: Springer Nature
Published: Jun 6 2007
Pages: 322
Weight: 1.13
Height: 0.79 Width: 6.36 Depth: 9.30
Language: English
These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann's hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors' approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.
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