34 citations · 149 across the 17 of their papers we have counts for
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Formal duality in finite cyclic groups
Romanos Diogenes Malikiosis
The notion of formal duality in finite Abelian groups appeared recently in relation to spherical designs, tight sphere packings, and energy minimizing configurations in Euclidean s…
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…
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…
Lattice-point enumerators of ellipsoids
Romanos-Diogenes Malikiosis
Minkowski's second theorem on successive minima asserts that the volume of a 0-symmetric convex body K over the covolume of a lattice Λcan be bounded above by a quantity involving…
A discrete analogue for Minkowski's second theorem on successive minima
Romanos Malikiosis
The main result of this paper is an inequality relating the lattice point enumerator of a 3-dimensional, 0-symmetric convex body and its successive minima. This is an example of ge…