Value-Distribution of L-Functions
Author | : Jörn Steuding |
Publisher | : Springer |
Total Pages | : 320 |
Release | : 2007-05-26 |
ISBN-10 | : 9783540448228 |
ISBN-13 | : 3540448225 |
Rating | : 4/5 (28 Downloads) |
Download or read book Value-Distribution of L-Functions written by Jörn Steuding and published by Springer. This book was released on 2007-05-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.