D. Hundertmark, A. Laptev and T. Weidl
New bounds on the Lieb-Thirring constants
(44K, LaTeX2e)

ABSTRACT.  Improved estimates on the constants $L_{\gamma,d}$, 
for $1/2<\gamma<3/2$, $d\in N$ in the inequalities for 
the eigenvalue moments of Schr\"{o}dinger operators are established.