{
"item_title" : "Value-Distribution of L-Functions",
"item_author" : [" Jörn Steuding "],
"item_description" : "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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Value-Distribution of L-Functions
Overview
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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Details
- ISBN-13: 9783540265269
- ISBN-10: 3540265260
- Publisher: Springer
- Publish Date: June 2007
- Dimensions: 9.3 x 6.36 x 0.79 inches
- Shipping Weight: 1.13 pounds
- Page Count: 322
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