Book contents
- Frontmatter
- Contents
- List of illustrations
- Preface
- Part I A quick look at various zeta functions
- Part II Ihara zeta function and the graph theory prime number theorem
- Part III Edge and path zeta functions
- Part IV Finite unramified Galois coverings of connected graphs
- 13 Finite unramified coverings and Galois groups
- 14 Fundamental theorem of Galois theory
- 15 Behavior of primes in coverings
- 16 Frobenius automorphisms
- 17 How to construct intermediate coverings using the Frobenius automorphism
- 18 Artin L-functions
- 19 Edge Artin L-functions
- 20 Path Artin L-functions
- 21 Non-isomorphic regular graphs without loops or multiedges having the same Ihara zeta function
- 22 Chebotarev density theorem
- 23 Siegel poles
- Part V Last look at the garden
- References
- Index
18 - Artin L-functions
from Part IV - Finite unramified Galois coverings of connected graphs
Published online by Cambridge University Press: 05 March 2013
- Frontmatter
- Contents
- List of illustrations
- Preface
- Part I A quick look at various zeta functions
- Part II Ihara zeta function and the graph theory prime number theorem
- Part III Edge and path zeta functions
- Part IV Finite unramified Galois coverings of connected graphs
- 13 Finite unramified coverings and Galois groups
- 14 Fundamental theorem of Galois theory
- 15 Behavior of primes in coverings
- 16 Frobenius automorphisms
- 17 How to construct intermediate coverings using the Frobenius automorphism
- 18 Artin L-functions
- 19 Edge Artin L-functions
- 20 Path Artin L-functions
- 21 Non-isomorphic regular graphs without loops or multiedges having the same Ihara zeta function
- 22 Chebotarev density theorem
- 23 Siegel poles
- Part V Last look at the garden
- References
- Index
- Type
- Chapter
- Information
- Zeta Functions of GraphsA Stroll through the Garden, pp. 144 - 163Publisher: Cambridge University PressPrint publication year: 2010