Value-Distribution of L-Functions

Jörn Steuding (auth.)9783540265269, 3-540-26526-0

Career details of the author:

1996-1999: assistant of Prof. G.J. Rieger at Hanover University

1999: PhD at Hanover University under supervision of Prof. Dr. G.J. Rieger

1999-2004: assistant of Prof. Dr. W. Schwarz and Prof. Dr. J. Wolfart at Frankfurt University

2004: Habilitation at Frankfurt University (venia legendi)

2004-today: ‘Ramon y Cajal’-investigador at Universidad Autonoma de Madrid (research fellow)

Table of contents :
Front Matter….Pages I-XIII
Introduction….Pages 1-33
Dirichlet Series and Polynomial Euler Products….Pages 35-47
Interlude: Results from Probability Theory….Pages 49-61
Limit Theorems….Pages 63-85
Universality….Pages 87-110
The Selberg Class….Pages 111-135
Value-Distribution in the Complex Plane….Pages 137-154
The Riemann Hypothesis….Pages 155-165
Effective Results….Pages 167-191
Consequences of Universality….Pages 193-207
Dirichlet Series with Periodic Coefficients….Pages 209-227
Joint Universality….Pages 229-248
L -Functions of Number Fields….Pages 249-283
Back Matter….Pages 285-322