Value-Distribution of L-Functions

By Jörn Steuding

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.

• Format: Paperback
• Language: English
• ISBN: 3540265260
• ISBN13: 9783540265269
• Release Date: June 2007
• Publisher: Springer
• Length: 322 Pages
• Weight: 1.13 lbs.
• Dimensions: 0.8" x 6.4" x 9.3"