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math.NT2014
A short proof of a known result about the density of a certain set in
Dimitri Dias
In Theorem 1 of Acta Arith. 99 (2001), 321-329, Cobeli and Zaharescu give a result about the distribution of the -points on an affine curve. An easy corollary to their t…
math.NT2014★ 2 cited
The angular distribution of integral ideal numbers with a fixed norm in quadratic extensions
Dimitri Dias
Erdős and Hall studied the angular distribution of Gaussian integers with a fixed norm. We generalize their result to the angular distribution of integral ideal numbers with a fixe…
math.NT2014★ 2 cited
The Local-Global Principle for Integral Generalized Apollonian Sphere Packings
Dimitri Dias
Four mutually tangent spheres form two gaps. In each of these, one can inscribe in a unique way four mutually tangent spheres such that each one of these spheres is tangent to exac…