Kronecker's double series and exact asymptotic expansions for free models of statistical mechanics on torus

Journal of Physics A: Mathematical and General

Volumn 35, Issue 27, 2002, Pages 5543-5561

  Ivashkevich, E V ^a   Izmailian, N Sh ^b,c   Hu, Chin Kun ^b  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^b INSTITUTE OF PHYSICS   (Taiwan)

^c YEREVAN PHYSICS INSTITUTE   (Armenia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041350406     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/27/302     Document Type: Article

References (26)

1. Privman V 1990 Finite Size Scaling and Numerical Simulation of Statistical Systems ed V Privman (Singapore: World Scientific) see also references therein
2. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (London: Academic)
3. McCoy B and Wu T T 1973 The Two-Dimensional Ising Model (Cambridge: Harvard University Press)
4. Cardy J L 1990 Conformal Invariance and Statistical Mechanics, Les Hauches Session XLIX: Fields, Stringis and Critical Phenomena ed E Brezin and J Zinn-Justin (Amsterdam: North-Holland)
5. Izmailian N Sh and Hu C K 2001 Phys. Rev. Lett. 86 5160
6. Ferdinand A E and Fisher M E 1969 Phys. Rev. 185 832
7. Onsager L 1944 Phys. Rev. 65 117
8. Hu C K, Chen J A, Izmailian N Sh and Kleban P 1999 Phys. Rev. E 60 6491 (Preprint cond-mat/9905203)
9. Izmailian N Sh and Hu C K 2002 Phys. Rev. E 65 036103 (Preprint cond-mat/0009024v2)
10. Salas J 2001 J. Phys. A: Math. Gen. 34 1311 (Preprint cond-mat/0009054v3)
11. Salas J and Sokal A D 1997 J. Stat. Phys. 88 567
12. Christe P and Henkel M 1993 Introduction to Conformal Invariance and its Application to Critical Phenomena (Berlin: Springer)
13. Kaufmann B 1949 Phys. Rev. 76 1232
14. Gradshteyn I S and Ryzhik I M 1965 Table of Integrals, Series and Products (New York: Academic)
15. Kasteleyn P W 1961 Physica 27 1209
16. Fisher M E 1961 Phys. Rev. 124 1664
17. Ferdinand A E 1967 J. Math. Phys. 8 2332
18. Sato M, Miwa T and Jimbo M 1980 Holonomic Quantum Fields V vol 16 (RIMS, Kyoto University) p 531
19. Lu W T and Wu F Y 1999 Phys. Lett. A 259 108
20. Abramowitz M and Stegun I A 1970 Handbook of Mathematical Functions (New York: Dover) p 806
21. Hardy G H 1949 Divergent Series (Oxford: Clarendon)
22. Prohorov Yu V and Rozanov Yu A 1969 Probability Theory (New York: Springer)
23. Mumford D 1983 Tata Lectures on Theta (Basel: Birkhäuser)
24. Weil A 1976 Elliptic Functions According to Eisenshtein and Kronecker (Berlin: Springer)
25. Korn G A and Korn T M 1968 Mathematical Handbook (New York: McGraw-Hill)
26. Izmailian N Sh., Oganesyan K B and Hu C-K 2002 Phys. Rev. E 65 056132 (Preprint cond-mat/0202282)