On the sum of the squared multiplicities of the distances in a point set over finite fields
classification
🧮 math.CO
keywords
distancesfinitemultiplicitiespointsquaredanalogconjecturedetermined
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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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