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The spectral theory for finite graphs and higher dimensional complexes is studied. Of special interest in theory and applications are the spectrally extremal objects, called Ramanujan graphs and Ramanujan complexes, which can be characterized by their associated zeta functions satisfying the Riemann Hypothesis. Explicit constructions of these extremal combinatorial objects, using number-theoretic and combinatorial means, are presented.
Research on zeta and $L$-functions for complexes other than graphs emerged only in recent years. This is the first book for graduate students and researchers offering deep insight into this fascinating and fast developing area.
The spectral theory for finite graphs and higher dimensional complexes is studied. Of special interest in theory and applications are the spectrally extremal objects, called Ramanujan graphs and Ramanujan complexes, which can be characterized by their associated zeta functions satisfying the Riemann Hypothesis. Explicit constructions of these extremal combinatorial objects, using number-theoretic and combinatorial means, are presented.
Research on zeta and $L$-functions for complexes other than graphs emerged only in recent years. This is the first book for graduate students and researchers offering deep insight into this fascinating and fast developing area.
- • Number theoretic zeta and $L$-functions
• The Selberg zeta function
• $L$-functions in geometry
• The Ihara zeta function
• Spectral graph theory
• Explicit constructions of Ramanujan graphs
• Artin $L$-functions and prime distributions for graphs
• Zeta and $L$-functions of complexes
• Bibliography
• Index
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9781470449001 |
| ISBN-10: | 1470449005 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Li, Wen-Ching Winnie |
| Hersteller: | American Mathematical Society |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 179 x 254 x 15 mm |
| Von/Mit: | Wen-Ching Winnie Li |
| Erscheinungsdatum: | 30.03.2019 |
| Gewicht: | 0,206 kg |
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