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math.NT2015★ 1 cited
Rotations by roots of unity and Diophantine approximation
Romanos-Diogenes Malikiosis
For a fixed integer , we study the question whether at least one of the numbers , , is -close to an integer, for any possible value of $X\i…
math.NT2015★ 1 cited
Polyhedral Gauss Sums, and polytopes with symmetry
Romanos-Diogenes Malikiosis, Sinai Robins, Yichi Zhang
We define certain natural finite sums of 'th roots of unity, called , that are associated to each convex integer polytope , and which generalize the classical -dim…