The Fuchsian differential equation of the square lattice Ising model χ(3) susceptibility

Journal of Physics A: Mathematical and General

Volumn 37, Issue 41, 2004, Pages 9651-9668

  Zenine, N ^a   Boukraa, S ^b   Hassani, S ^a   Maillard, J M ^c  

^a CENTRE DE RECHERCHE NUCLÉAIRE D ALGER   (Algeria)

^b UNIVERSITY OF BLIDA   (Algeria)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 7544224049     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/41/004     Document Type: Article

References (29)

1. Wu T T, McCoy B M, Tracy C A and Barouch E 1976 Phys. Rev. B 13 316
2. Nappi C R 1978 Nuovo Cimente A 44 392
3. Palmer J and Tracy C 1981 Adv. Appl. Math. 2 329
4. Yamada K 1984 Prog. Theor. Phys. 71 1416
5. Yamada K 1985 Phys. Lett. A 112 456
6. Nickel B 1999 J. Phys. A: Math. Gen. 32 3889
7. Nickel B 2000 J. Phys. A: Math. Gen. 33 1693
8. Lipshitz L 1989 J. Algebra 122 354
9. Zeilberger D 1990 J. Comput. Appl. Math. 32 321
10. Orrick W P, Nickel B G, Guttmann A J and Perk J H H 2001 J. Stat. Phys. 102 795
11. McCoy B M and Wu T T 1980 Phys. Rev. Lett. 45 675
12. Perk J H H 1980 Phys. Lett. A 79 3
13. Jimbo M and Miwa T 1980 Proc. Japan Acad. A 56 405 Jimbo M and Miwa T 1981 Proc. Japan Acad. A 57 347
14. Jimbo M and Miwa T 1980 Proc. Japan Acad. A 56 405 Jimbo M and Miwa T 1981 Proc. Japan Acad. A 57 347
15. Orrick W P, Nickel B G, Guttmann A J and Perk J H H 2001 Phys. Rev. Lett. 86 4120
16. (3) susceptibility: Series expansion method and differential equation (in preparation)
17. Ince H K 1927 Ordinary Differential Equations (London: Longmans) (also New York: Dover, 1956)
18. Tsai H 2000 Weyl closure of a linear differential operator J. Symbo. Comput. 29 747-75
19. Abramov S, Barkatou M and van Hoeij M Apparent singularities of linear difference equations with polynomial coefficients (in preparation)
20. van Put M and Singer M F 2004 Differential Galois Theory Grundlehren der mathematischen Wissenschaften vol 328 (Berlin: Springer)
21. Maillard J M and Boukraa S 2001 Modular invariance in lattice statistical mechanics Ann. Fond. Louis de Broglie 26 287-328
22. Doran C F 2000 Picard-Fuchs uniformization: modularity of the mirror map and mirror-moonshine CRM Proc. Lecture Notes 34 257-81
23. Doran C F 2001 J. Diff. Geom. 59 33-85
24. Compoint E and Singer M F 1998 J. Symb. Compta. 11 1-22
25. Bertrand D 2001 Math. Ann. 321 645-66
26. Mitschi C and Singer M F 2002 Annales de la Faculté des Sciences de Toulouse 3 403-23
27. Dettweiler M and Reiter S 2003 On the middle convolution Preprint math.AG/0305311
28. Katz N 2003 Rigid Local Systems (Annals of Math. Studies vol 139) (Princeton, NJ: Princeton University Press)
29. Darmon H 2000 Rigid local systems, Hubert forms and Fermat's last theorem Duke Math. J. 102 413-49