Geodesic
Estimates of the coefficients of mayer expansions on the boundary of the infrared region
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 235-243 
V. A. Malyshev. Estimates of the coefficients of mayer expansions on the boundary of the infrared region. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 235-243. http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a7/
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     author = {V. A. Malyshev},
     title = {Estimates of~the coefficients of~mayer expansions on~the boundary of~the infrared region},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--243},
     year = {1980},
     volume = {45},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Classical gas on the lattice and with the two-particle interaction $\Phi(x-y)$ is considered. Rejecting the regularity but assuming the stability and boundedness of the Fourier transformation $\widetilde\Phi(k)$ we prove the estimate $|b_n| for the coefficients of the Mayer expansion $\sum b_nz^n$ e. g. for the first correlation function.

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