18 citations · 54 across the 57 of their papers we have counts for
Showing 2020 · math.NTShow all
3 papers · 2 filters
math.NT2020
On average coherence of cyclotomic lattices
Lenny Fukshansky, David Kogan
We introduce maximal and average coherence on lattices by analogy with these notions on frames in Euclidean spaces. Lattices with low coherence can be of interest in signal process…
math.NT2020
On sparse geometry of numbers
Lenny Fukshansky, Pavel Guerzhoy, Stefan Kuehnlein
Let be a lattice of full rank in -dimensional real space. A vector in is called -sparse if it has no more than nonzero coordinates. We define the -th successiv…
math.NT2020
Representing integers by multilinear polynomials
Albrecht Boettcher, Lenny Fukshansky
Let be a homogeneous polynomial in variables of degree with integer coefficients so that its degree in every variable is equal to …