%0 Journal Article %T On the sum of the squared multiplicities of the distances in a point set over finite fields %A Le Anh Vinh %A Dang Phuong Dung %J Mathematics %D 2008 %I arXiv %X We study a finite analog of a conjecture of Erd\"os on the sum of the squared multiplicities of the distances determined by an $n$-element point set. Our result is based on an estimate of the number of hinges in spectral graphs. %U http://arxiv.org/abs/0809.3539v2