作者：TARDOS, G
作者单位：HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; Hungarian Academy of Sciences
摘要：The Hanna Neumann Conjecture says that the intersection of subgroups of rank n + 1 and m + 1 of a free group has rank at most nm + 1. This paper proves the conjecture for the case m = 1. (See Theorem 1.) Our methods imply that the strengthened Hanna Neumann Conjecture is also true in this case (Theorem 2').
作者：RAIKOV, GD
摘要：We consider the Schrodinger operator H = - DELTA + W + V acting in L2 (R(m)), m greater-than-or-equal-to 2, with periodic potential W perturbed by a potential V which decays slowly at infinity. We study the asymptotic behaviour of the discrete spectrum of H near any given boundary point of the essential spectrum.
