Publisher | Springer |
ISBN 10 | 3540265260 |
Language | English |
About the Author | Career details of the author:1996-1999: assistant of Prof. G.J. Rieger at Hanover University1999: PhD at Hanover University under supervision of Prof. Dr. G.J. Rieger1999-2004: assistant of Prof. Dr. W. Schwarz and Prof. Dr. J. Wolfart at Frankfurt University2004: Habilitation at Frankfurt University (venia legendi)2004-today: ‘Ramon y Cajal’-investigador at Universidad Autonoma de Madrid (research fellow) |
Number of Pages | 340 pages |
ISBN 13 | 9783540265269 |
Author | Jörn Steuding |
Book 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. |
Publication Date | 6 June 2007 |