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Value-Distribution of L-Functions|Jörn Steuding

Value-Distribution of L-Functions

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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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