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math.MG2021
The null set of a polytope, and the Pompeiu property for polytopes
Fabrício Caluza Machado, Sinai Robins
We study the null set of the Fourier-Laplace transform of a polytope , and we find that does not contain (almost…
math.MG2018
Spherical tetrahedra with rational volume, and spherical Pythagorean triples
Alexander Kolpakov, Sinai Robins
We study spherical tetrahedra with rational dihedral angles and rational volumes. Such tetrahedra occur in the Rational Simplex Conjecture by Cheeger and Simons, and we supply vast…