On a class of infinite products occurring in quantum statistical mechanics
Fano, G. ; Loupias, G.
Annales de l'I.H.P. Physique théorique, Tome 15 (1971), p. 91-106 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{AIHPA_1971__15_2_91_0,
     author = {Fano, G. and Loupias, Guy},
     title = {On a class of infinite products occurring in quantum statistical mechanics},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {15},
     year = {1971},
     pages = {91-106},
     mrnumber = {297276},
     zbl = {0223.40002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1971__15_2_91_0}
}

Fano, G.; Loupias, G. On a class of infinite products occurring in quantum statistical mechanics. Annales de l'I.H.P. Physique théorique, Tome 15 (1971) pp. 91-106. http://gdmltest.u-ga.fr/item/AIHPA_1971__15_2_91_0/

[1] G. Fano and G. Loupias, On the thermodynamic limit of the B. C. S. state. Commun. Math. Phys., t. 20, 1971, p. 143. | MR 287859

[1 bis] 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.

[2] D. Ruelle, Helv. Phys. Acta t. 36, 1963, p. 789. | MR 180273 | Zbl 0121.22701

[3] M.E. Fisher, Arch. Rat. Mech. Anal., t. 17, 1964, p. 377. | MR 172644

[4] B. Levin, Distribution of zeros of entire functions. Transl. of Math. Monograph. Am. Math. Soc., 1964. | MR 156975 | Zbl 0152.06703

[5] R. Boas, Entire functions, Academic Press, 1954. | MR 68627 | Zbl 0058.30201

[6] G.M. Mittag-Leffler, Acta Math., t. 29, 1905, p. 101. | JFM 36.0469.02

[7] E. Phragmén, Acta Math., t. 28, 1904, p. 351. | JFM 35.0404.01

[8] D. Ruelle, Helv. Phys. Acta, t. 36, 1963, p. 183. | MR 151261 | Zbl 0113.45606

[9] R.L. Dobrushin and R.A. Minlos, Theory of probability and its applications, t. 12, 1967, p. 535.

[10] I.S. Gradshteyn and I.M. Ryzhik, Table of integrals, series and products, Academic Press, 1965.

[11] F. Smithies, Duke Math. J., t. 8, 1941, p. 107. | JFM 67.0376.02 | MR 4699 | Zbl 0025.06003