On the sum of the squared multiplicities of the distances in a point set over finite fields

Details On the sum of the squared multiplicities of the distances in a point set over finite fields On the sum of the squared multiplicities of the distances in a point set over finite fields

2008-09-20

arxiv.org/abs/0809.3539v2

Mathematics

Combinatorics

Scientific paper

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.

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