16 citations · 26 across the 4 of their papers we have counts for
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math.CO2012★ 6 cited
Using the subspace theorem to bound unit distances
Ryan Schwartz
We prove a special case of Erdős' unit distance problem using a corollary of the subspace theorem bounding the number of solutions of linear equations from a multiplicative group.…
math.CO2012★ 16 cited
Extensions of a result of Elekes and Rónyai
Ryan Schwartz, József Solymosi, Frank de Zeeuw
Many problems in combinatorial geometry can be formulated in terms of curves or surfaces containing many points of a cartesian product. In 2000, Elekes and Rónyai proved that if th…