Constructs point sets with more than n^{1.014} unit distances using algebraic number fields of large degree and small discriminant with many small-norm primes via Golod-Shafarevich.
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An explicit lower bound for the unit distance problem
Constructs point sets with more than n^{1.014} unit distances using algebraic number fields of large degree and small discriminant with many small-norm primes via Golod-Shafarevich.