most citedInfinitely Often Dense Bases of Integers with a Prescribed Representation Function

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math.NT2007★ 1 cited

Geometric structure of sumsets

Jaewoo Lee

Given a finite set of lattice points, we compare its sumsets and lattice points in its dilated convex hulls. Both of these are known to grow as polynomials. Generally, the former a…

math.NT2007★ 2 cited

Infinitely Often Dense Bases of Integers with a Prescribed Representation Function

Jaewoo Lee

Nathanson constructed asymptotic bases for the integers with a prescribed representation function, then asked how dense they can be. We can easily obtain an upper bound using a sim…