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math.NT2011
Generalized Frobenius numbers: Bounds and average behavior
Iskander Aliev, Lenny Fukshansky, Martin Henk
We produce new upper and lower bounds for the s-Frobenius number by relating it to the so called s-covering radius of a certain convex body with respect to a certain lattice; this…
math.NT2011
On well-rounded ideal lattices
Lenny Fukshansky, Kathleen Petersen
We investigate a connection between two important classes of Euclidean lattices: well-rounded and ideal lattices. A lattice of full rank in a Euclidean space is called well-rounded…