|
|
|
|
LEADER |
00000cam a2200000 a 4500 |
001 |
b1636903 |
003 |
MWH |
005 |
20110923015944.0 |
008 |
100615s2011 enka b 001 0 eng |
010 |
|
|
|a 2010024611
|
015 |
|
|
|a GBB090852
|2 bnb
|
016 |
7 |
|
|a 015612589
|2 Uk
|
019 |
|
|
|a 693123160
|a 718273365
|
020 |
|
|
|a 9780521113670
|
020 |
|
|
|a 0521113679
|
035 |
|
|
|a (OCoLC)639166318
|
035 |
|
|
|a (OCoLC)639166318
|z (OCoLC)693123160
|z (OCoLC)718273365
|
040 |
|
|
|a DLC
|c DLC
|d YDX
|d BTCTA
|d YDXCP
|d CDX
|d QCL
|d BWX
|d IXA
|d CHRRO
|d UKMGB
|
042 |
|
|
|a pcc
|
049 |
|
|
|a HCQS
|
050 |
0 |
0 |
|a QA166
|b .T47 2011
|
072 |
|
7 |
|a s1ma
|2 rero
|
100 |
1 |
|
|a Terras, Audrey.
|
245 |
1 |
0 |
|a Zeta functions of graphs :
|b a stroll through the garden /
|c Audrey Terras.
|
260 |
|
|
|a Cambridge ;
|a New York :
|b Cambridge University Press,
|c 2011.
|
300 |
|
|
|a xii, 239 p. :
|b ill. (some col.) ;
|c 24 cm.
|
490 |
1 |
|
|a Cambridge studies in advanced mathematics ;
|v 128
|
504 |
|
|
|a Includes bibliographical references (p. 230-235) and index.
|
505 |
0 |
|
|a Part I. A Quick Look at Various Zeta Functions: 1. Riemann's zeta function and other zetas from number theory; 2. Ihara's zeta function; 3. Selberg's zeta function; 4. Ruelle's zeta function; 5. Chaos; Part II. Ihara's Zeta Function and the Graph Theory Prime Number Theorem: 6. Ihara zeta function of a weighted graph; 7. Regular graphs, location of poles of zeta, functional equations; 8. Irregular graphs: what is the RH?; 9. Discussion of regular Ramanujan graphs; 10. The graph theory prime number theorem; Part III. Edge and Path Zeta Functions: 11. The edge zeta function; 12. 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. The Chebotarev Density Theorem; 23. Siegel poles; Part V. Last Look at the Garden: 24. An application to error-correcting codes; 25. Explicit formulas; 26. Again chaos; 27. Final research problems; References; Index.
|
650 |
|
0 |
|a Graph theory.
|
650 |
|
0 |
|a Functions, Zeta.
|
830 |
|
0 |
|a Cambridge studies in advanced mathematics ;
|v 128.
|
856 |
4 |
2 |
|3 Contributor biographical information
|u http://catdir.loc.gov/catdir/enhancements/fy1108/2010024611-b.html
|t 0
|
856 |
4 |
2 |
|3 Publisher description
|u http://catdir.loc.gov/catdir/enhancements/fy1108/2010024611-d.html
|t 0
|
856 |
4 |
1 |
|3 Table of contents only
|u http://catdir.loc.gov/catdir/enhancements/fy1108/2010024611-t.html
|t 0
|
907 |
|
|
|a .b16369038
|b 02-01-12
|c 09-23-11
|
998 |
|
|
|a hz
|a hq
|b 09-27-11
|c m
|d a
|e -
|f eng
|g enk
|h 0
|i 0
|
994 |
|
|
|a C0
|b HCD
|
945 |
|
|
|f 10-24-2011 16:44
|g 1
|h 0
|i 38400003871611
|j - -
|k - -
|l hqcol
|o -
|p $0.00
|q -
|r -
|s -
|t 0
|u 1
|v 12
|w 1
|x 0
|y .i16191742
|z 09-27-11
|
999 |
f |
f |
|i cbae8d3d-1248-57a1-a247-d6dff3d8f7fd
|s ce4dd910-4439-50b0-9190-d8a90bd05ae4
|t 0
|
952 |
f |
f |
|p Can Circulate
|a College of the Holy Cross
|b Main Campus
|c Science
|d Science Library
|t 0
|e QA166 .T47 2011
|h Library of Congress classification
|i Book
|m 38400003871611
|