Value-Distribution of L-Functions
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Value-Distribution of L-Functions “
- Introduction- The Selberg class
- Mean-square Formulae
- Value-distribution in the Complex Plane
- Interlude: Facts from Probability Theory
- Limit Theorems
- Universality
- The Riemann Hypothesis
- Effective Results
- Consequences of Universality
- Dirichlet Series with Periodic Coefficients
- Appendix: A Short History of Universality
- Bibliography
- Index
- Notation
Autoren-Porträt von Jörn Steuding
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)
Bibliographische Angaben
- Autor: Jörn Steuding
- 2007, 2007, 322 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3540265260
- ISBN-13: 9783540265269
- Erscheinungsdatum: 06.06.2007
Sprache:
Englisch
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