Skip to main content Accessibility help
×
Home
Hostname: page-component-5959bf8d4d-599mq Total loading time: 0.428 Render date: 2022-12-08T05:31:38.134Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true

6 - Unramified Graph Covers of Finite Degree

Published online by Cambridge University Press:  25 May 2018

Hau-Wen Huang
Affiliation:
Department of Mathematics, National Central University, Chung-Li 32001, Taiwan
Wen-Ching Winnie Li
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
Steve Butler
Affiliation:
Iowa State University
Joshua Cooper
Affiliation:
University of South Carolina
Glenn Hurlbert
Affiliation:
Virginia Commonwealth University
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Connections in Discrete Mathematics
A Celebration of the Work of Ron Graham
, pp. 104 - 124
Publisher: Cambridge University Press
Print publication year: 2018

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. T., Adachi and T., Sunada. Twisted Perron-Frobenius theorem and L-functions. J. Funct. Anal. 71 (1987), 1–46.Google Scholar
2. H., Bass. The Ihara-Selberg zeta function of a tree lattice. Int. J. Math. 3 (1992), 717–797.Google Scholar
3. L., Halbeisen and N., Hungerbuhler. Generation of isospectral graphs. J. Graph Theory 31 (1999), 255–265.Google Scholar
4. K., Hashimoto. Zeta functions of finite graphs and representations of p-adic groups. Adv. Stud. Pure Math. 15 (1989), 211–280.Google Scholar
5. K., Hashimoto. On zeta and L-functions of finite graphs. Int. J. Math. 1 (1990), 381–396.Google Scholar
6. K., Hashimoto. Artin type L-functions and the density theorem for prime cycles on finite graphs. Int. J. Math. 3 (1992), 809–826.Google Scholar
7. H-W., Huang and W-C.W., Li. A unified approach to the Galois closure problem. J. Number Theory. 180 (2017), 251–279.Google Scholar
8. Y., Ihara. On discrete subgroups of the two by two projective linear group over padic fields. J. Math. Soc. Japan 18 (1966), 219–235.Google Scholar
9. J.C., Lagarias and A.M., Odlyzko. Effective versions of the Chebotarev density theorem in Algebraic Number Fields, ed. A Frohlich, Academic Press, London, 1977, pp. 409–464.Google Scholar
10. J-P., Serre. Trees. Translated from the French by John Stillwell, Springer-Verlag, Berlin, 1986.Google Scholar
11. M., Somodi. On Sunada equivalent graph coverings. J. Comb. Number Theory 7, no. 2, (2015) 79–94.Google Scholar
12. H., Stark and A., Terras. Zeta functions of finite graphs and coverings. Adv. Math. 121 (1996), 124–165.Google Scholar
13. H., Stark and A., Terras. Zeta functions of finite graphs and coverings Part II. Adv. Math. 154 (2000), 132–195.Google Scholar
14. H., Stark and A., Terras. Zeta functions of finite graphs and coverings III. Adv. Math. 208 (2007), 467–489.Google Scholar
15. T., Sunada. Riemannian coverings and isospectral manifolds. Ann. Math. 121 (1985), 169–186.Google Scholar
16. T., Sunada. L-functions in geometry and some applications. Curvature and topology of Riemannian manifolds (Katata, 1985), pp. 266–284. Lecture Notes in Mathematics, Vol. 1201. Springer-Verlag, Berlin, 1986.
17. A., Terras. Zeta Functions of Graphs: A Stroll through the Garden. Cambridge Studies in Advanced Mathematics, Vol. 128. Cambridge University Press, Cambridge (2011).Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×