On the cubic modular transformation and the cubic lattice Green functions

Journal of Physics A: Mathematical and General

Volumn 31, Issue 22, 1998, Pages 5105-5115

  Joyce, G S ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032486022     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/22/011     Document Type: Article

References (30)

1. Baxter R J and Wu F Y 1973 Phys. Rev. Lett. 31 1294-7
2. Baxter R J and Wu F Y 1974 Aust. J. Phys. 27 357-67
3. Baxter R J 1980 J. Phys. A: Math. Gen. 13 L61-70
4. Baxter R J 1982 Exactly solved models in statistical mechanics (London: Academic)
5. Berlin T H and Kac M 1952 Phys. Rev. 86 821-35
6. Borwein J M and Borwein P B 1987 Pi and the AGM (New York: Wiley)
7. Cayley A 1874 Phil. Trans. R. Soc. 164 397-456
8. Cayley A 1895 An elementary treatise on elliptic functions 2nd edn (Cambridge: Deighton, Bell and Co)
9. Erdélyi A, Magnus W, Oberhettinger F and Tricom FG 1953 Higher transcendental functions vol 1 (New York: McGraw-Hill)
10. Hardy G H 1940 Kamanujan (New York: Chelsea)
11. Horiguchi T 1972 J. Math. Phys. 13 1411-19
12. Iwata G 1969 Natn. Sci. Rep. Ochanomizu Univ., Tokyo 20 13-18
13. Jelitto R J 1969 J. Phys. Chem. Solids 30 609-26
14. Joyce G S 1971 J. Math. Phys. 12 1390-414
15. Joyce G S 1972a in Phase transitions and critical phenomena vol 2, ed C Domb and M S Green pp 375-442 (London: Academic)
16. Joyce G S 1972b J. Phys. A: Math. Gen. 5 L65-8
17. Joyce G S 1973 Phil. Trans. R. Soc. A 273 583-610
18. Joyce G S 1975a Proc. R. Soc. A 343 45-62
19. Joyce G S 1975b Proc. R. Soc. A 345 277-93
20. Joyce G S 1988 Phil. Trans. R. Soc. A 325 643-706
21. Joyce G S 1994 Proc. R. Soc. A 445 463-77
22. Katsura S and Horiguchi T 1971 J. Math. Phys. 12 230-1
23. Katsura S, Morita T, Inawashiro S, Horiguchi T and Abe Y 1971 J. Math. Phys. 12 892-5
24. Maradudin A A, Montroll E W, Weiss G H, Herman R and Milnes H W 1960 Green's functions for monatomic simple cubic lattices (Bruxelles: Académie Royale de Belgique)
25. Montroll E W 1956 in Proc. 3rd Berkeley Symp. on Mathematical Statistics and Probability vol 3, ed J Neyman (Berkeley, CA: University of California Press) pp 209-46
26. Montroll E W and Weiss G H 1965 J. Math. Phys. 6 167-81
27. Morita T and Horiguchi T 1971 J. Math. Phys. 12 986-92
28. Watson G N 1939 Q. J. Math. Oxford 10 266-76
29. Whittaker E T and Watson G N 1927 A course of modern analysis 4th edn (Cambridge: Cambridge University Press)
30. Wolfram S 1991 Mathematica - a system for doing mathematics by computer 2nd edn (Redwood City, CA: Addison-Wesley)