@article {2011,
	title = {On the number of eigenvalues of a model operator related to a system of three particles on lattices},
	journal = {J. Phys. A 44 (2011) 315302},
	year = {2011},
	publisher = {IOP Publishing},
	doi = {10.1088/1751-8113/44/31/315302},
	url = {http://hdl.handle.net/1963/5496},
	author = {Gianfausto Dell{\textquoteright}Antonio and Zahriddin I. Muminov and Y.M. Shermatova}
}
@article {2007,
	title = {The number of eigenvalues of three-particle Schr{\"o}dinger operators on lattices},
	journal = {J. Phys. A 40 (2007) 14819-14842},
	number = {arXiv.org;math/0703191v1},
	year = {2007},
	abstract = {We consider the Hamiltonian of a system of three quantum mechanical particles (two identical fermions and boson)on the three-dimensional lattice $\\\\Z^3$ and interacting by means of zero-range attractive potentials. We describe the location and structure of the essential spectrum of the three-particle discrete Schr\\\\\\\"{o}dinger operator $H_{\\\\gamma}(K),$ $K$ being the total quasi-momentum and $\\\\gamma>0$ the ratio of the mass of fermion and boson.\\nWe choose for $\\\\gamma>0$ the interaction $v(\\\\gamma)$ in such a way the system consisting of one fermion and one boson has a zero energy resonance.\\nWe prove for any $\\\\gamma> 0$ the existence infinitely many eigenvalues of the operator $H_{\\\\gamma}(0).$ We establish for the number $N(0,\\\\gamma; z;)$ of eigenvalues lying below $z<0$ the following asymptotics $$ \\\\lim_{z\\\\to 0-}\\\\frac{N(0,\\\\gamma;z)}{\\\\mid \\\\log \\\\mid z\\\\mid \\\\mid}={U} (\\\\gamma) .$$ Moreover, for all nonzero values of the quasi-momentum $K \\\\in T^3 $ we establish the finiteness of the number $ N(K,\\\\gamma;\\\\tau_{ess}(K))$ of eigenvalues of $H(K)$ below the bottom of the essential spectrum and we give an asymptotics for the number $N(K,\\\\gamma;0)$ of eigenvalues below zero.},
	doi = {10.1088/1751-8113/40/49/015},
	url = {http://hdl.handle.net/1963/2576},
	author = {Sergio Albeverio and Gianfausto Dell{\textquoteright}Antonio and Saidakhmat N. Lakaev}
}
@article {1989,
	title = {On the number of families of periodic solutions of a Hamiltonian system near equilibrium. II.  (English. Italian summary)},
	journal = {Boll. Un. Mat. Ital. B (7)  3  (1989),  no. 3, 579-590},
	number = {SISSA;13/88/FM},
	year = {1989},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/609},
	author = {Gianfausto Dell{\textquoteright}Antonio and Biancamaria D{\textquoteright}Onofrio}
}
