26 citations · 35 across the 6 of their papers we have counts for
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math.NT2002★ 6 cited
Continuous Ramsey Theory and Sidon Sets
Greg Martin, Kevin O'Bryant
A symmetric subset of the reals is one that remains invariant under some reflection x --> c-x. Given 0 < x < 1, there exists a real number D(x) with the following property: if 0 <…
math.NT2002
The Limiting Curve of Jarnik's Polygons
Greg Martin
In 1925, Jarnik defined a sequence of convex polygons for use in constructing curves containing many lattice points relative to their curvatures. Properly scaled, these polygons co…
math.NT2002★ 1 cited
The Unreasonable Effectualness of Continued Function Expansions
Greg Martin
Many generalizations of continued fractions, where the reciprocal function has been replaced by a more general function, have been studied, and it is often asked whether such gener…