Quantum correlations and number theory

Journal of Physics A: Mathematical and General

Volumn 35, Issue 20, 2002, Pages 4443-4451

  Boos, H E ^a   Korepin, V E ^b   Nishiyama, Y ^c   Shiroishi, M ^d  

^a INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

^b STONY BROOK UNIVERSITY   (United States)

^c OKAYAMA UNIVERSITY   (Japan)

^d UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037166217     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/20/305     Document Type: Article

References (42)

1. Korepin V E, Izergin A G and Bogoliubov N M 1993 Quantum Inverse Scattering Method and Correlation Functions (Cambridge: Cambridge University Press)
2. Jimbo M and Miwa T 1995 Algebraic Analysis of Solvable Lattice Models (Providence, RI: American Mathematical Society)
3. Korepin V E, Izergin A G, Essler F H L and Uglov D B 1994 Phys. Lett. A 190 182
4. Essler F H L, Frahm H, Izergin A G and Korepin V E 1995 Commun. Math. Phys. 174 191
5. Essler F H L, Frahm H, Its A R and Korepin V E 1995 Nucl. Phys. B 446 448
6. Jimbo M and Miwa T 1996 J. Physique A 29 2923
7. Kitanine N, Maillet J M and Terras V 2000 Nucl. Phys. B 567 554
8. Razumov A V and Stroganov Yu G 2001 J. Phys. A: Math. Gen. 34 3185, Razumov A V and Stroganov Yu G 2001 J. Phys. A: Math. Gen. 34 5335
9. Razumov A V and Stroganov Yu G 2001 J. Phys. A: Math. Gen. 34 3185, Razumov A V and Stroganov Yu G 2001 J. Phys. A: Math. Gen. 34 5335
10. Boos H E and Korepin V E 2001 J. Phys. A: Math. Gen. 34 5311
11. Boos H E and Korepin V E 2001 Preprint hep-th/0105144
12. Shiroishi M, Takahashi M and Nishiyama Y 2001 J. Phys. Soc. Japan 70 3535
13. Bethe H 1931 Z. Phys. 76 205
14. Hulthén L 1938 Ark. Mat. Astron. Fysik A 26
15. Rivoal T 2000 C. R. Acad. Sci. Paris 331 267-70, http://front.math.ucdavis.edu/math.NT/0104221
16. Zagier D 1994 Values of zeta functions and their application First European Congress of Mathematics (Paris, 1992) vol 2 Progr. Math. 120 (Basel: Birkhauser) pp 497-512
17. Müller U and Schubert C 1999 A quantum field theoretical representation of Euler-Zagier sums Preprint math.QA/9908067
18. Le T Q T and Murakami J 1995 Topol. Appl. 62 193
19. Goncharov A B 2001 Multiple polylogarithms and mixed tate motives Preprint math.ag/0103059
20. Takahashi M 1977 J. Phys. C: Solid State Phys. 10 1289
21. Takahashi M 1999 Thermodynamics of One-dimensional Solvable Models (Cambridge: Cambridge Universityv Press)
22. Dittrich J and Inozemtsev V I 1997 J. Phys. A: Math. Gen. 30 L623
23. White S R 1992 Phys. Rev. Lett. 69 2863
24. White S R 1993 Phys. Rev. B 48 10345
25. Peschel I, Wang X, Kaulke M and Hallberg K (ed) 1999 Density-Matrix Renormalization-A New Numerical Method in Physics (Berlin: Springer)
26. Suzuki M 1976 Prog. Theor. Phys. 56 1454
27. Beard B B and Wiese U-J 1996 Phys. Rev. Lett. 77 5130
28. Evertz H G, Lana G and Marcu M 1993 Phys. Rev. Lett. 70 875
29. Wiese U-J and Ying H-P 1994 Z. Phys. B 93 147
30. Kawashima N and Gubernatis J E 1994 Phys. Rev. Lett. 73 1295
31. Takahashi M 1971 Prog. Theor. Phys. 46 401
32. Klümper A 1992 Ann. Phys., Lpz. 1 540
33. Klümper A 1993 Z. Phys. B 91 507
34. Destri C and de Vega H J 1992 Phys. Rev. Lett. 69 2313
35. Suzuki M and Inoue M 1987 Prog. Theor. Phys. 78 787
36. Koma T 1987 Prog. Theor. Phys. 78 1213, Koma T 1989 Prog. Theor. Phys. 81 783
37. Koma T 1987 Prog. Theor. Phys. 78 1213, Koma T 1989 Prog. Theor. Phys. 81 783
38. Suzuki J, Akutsu Y and Wadati M 1990 J. Phys. Soc. Japan 59 2667
39. Takahashi M 1991 Phys. Rev. B 43 5788, Takahashi M 1991 Phys. Rev. B 44 12 382
40. Takahashi M 1991 Phys. Rev. B 43 5788, Takahashi M 1991 Phys. Rev. B 44 12 382
41. Takahashi M P299-304 2001 Physics and Combinatorics (Proc. Int. Workshop, Nagoya, 2000) (Singapore: World Scientific) (Preprint cond-mat/0010486)
42. Takahashi M, Shiroishi M and Klümper A 2001 J. Phys. A: Math. Gen. 34 L187