Value-Distribution of L-Functions

✍ Scribed by Jörn Steuding (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2007
• Tongue: English
• Leaves: 319
• Series: Lecture Notes in Mathematics 1877
• Edition: 1
• Category: Library

✦ Synopsis

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

✦ Subjects

Number Theory; Functions of a Complex Variable; Probability Theory and Stochastic Processes