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.
Produkteigenschaften
- Artikelnummer: 9783540265269
- Medium: Buch
- ISBN: 978-3-540-26526-9
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 06.06.2007
- Sprache(n): Englisch
- Auflage: 2007
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 517 g
- Seiten: 322
- Format (B x H x T): 155 x 235 x 19 mm
- Ausgabetyp: Kein, Unbekannt