Value-Distribution of L-Functions
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.
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Produktdetails
- ISBN: 978-3-540-44822-8
- EAN: 9783540448228
- Produktnummer: 33361619
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2007
- Seitenangabe: 322 S.
- Plattform: PDF
- Masse: 4'328 KB
- Auflage: 2007
- Abbildungen: Bibliographie
- Reihenbandnummer: 1877
Über den Autor
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)
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