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Fano, G.; Loupias, G.

On a class of infinite products occurring in quantum statistical mechanics. (English) Zbl 0223.40002

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 15, 91-106 (1971).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0223.40002

Cited in 7 Documents

MSC:

40A20 Convergence and divergence of infinite products
82B10 Quantum equilibrium statistical mechanics (general)
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References:

[1] G. Fano and G. Loupias , On the thermodynamic limit of the B. C. S. state . Commun. Math. Phys. , t. 20 , 1971 , p. 143 . Article | MR 287859 · Zbl 0223.40002
[2] G. Fano and G. Loupias , Conjectures on a class of physical states of Fermi systems . On the thermodynamical limit of the B. C. S. state. Un published report. · Zbl 0223.40002
[3] D. Ruelle , Helv. Phys. Acta t. 36 , 1963 , p. 789 . MR 180273 | Zbl 0121.22701 · Zbl 0121.22701
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[5] B. Levin , Distribution of zeros of entire functions . Transl. of Math. Monograph. Am. Math. Soc. , 1964 . MR 156975 | Zbl 0152.06703 · Zbl 0152.06703
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[8] E. Phragmén , Acta Math. , t. 28 , 1904 , p. 351 . JFM 35.0404.01 · JFM 35.0404.01
[9] D. Ruelle , Helv. Phys. Acta , t. 36 , 1963 , p. 183 . MR 151261 | Zbl 0113.45606 · Zbl 0113.45606
[10] R.L. Dobrushin and R.A. Minlos , Theory of probability and its applications , t. 12 , 1967 , p. 535 . · Zbl 0226.60051
[11] I.S. Gradshteyn and I.M. Ryzhik , Table of integrals, series and products , Academic Press , 1965 . · Zbl 0918.65002
[12] F. Smithies , Duke Math. J. , t. 8 , 1941 , p. 107 . Article | MR 4699 | Zbl 0025.06003 | JFM 67.0376.02 · Zbl 0025.06003 · doi:10.1215/S0012-7094-41-00805-0
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