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math.NT2009★ 2 cited
Integral orthogonal bases of small height for real polynomial spaces
Lenny Fukshansky
Let be the space of all real polynomials in variables with the usual inner product on it, given by integrating over the unit sphere. We start by deriving an exp…
math.NT2009
Revisiting the hexagonal lattice: on optimal lattice circle packing
Lenny Fukshansky
In this note we give a simple proof of the classical fact that the hexagonal lattice gives the highest density circle packing among all lattices in . With the benefit of hinds…
math.NT2009
Small zeros of hermitian forms over a quaternion algebra
Wai Kiu Chan, Lenny Fukshansky
Let be a positive definite quaternion algebra over a totally real number field , a hermitian form in 2N variables over , and a right -vector space which i…