18 citations · 54 across the 57 of their papers we have counts for
4 papers · 2 filters
Diophantine avoidance and small-height primitive elements in ideals of number fields
Lenny Fukshansky, Sehun Jeong
Let be a number field of degree . Then every ideal in the ring of integers contains infinitely many primitive elements, i.e. elements of degree . A b…
Deep hole lattices and isogenies of elliptic curves
Lenny Fukshansky, Pavel Guerzhoy, Tanis Nielsen
Given a lattice in the plane, we define the affiliated deep hole lattice to be spanned by a shortest vector of and a deep hole of contained in the triangle with…
On a new absolute version of Siegel's lemma
Maxwell Forst, Lenny Fukshansky
We establish a new version of Siegel's lemma over a number field , providing a bound on the maximum of heights of basis vectors of a subspace of , . In addition t…
Euclidean lattices: theory and applications
Lenny Fukshansky, Camilla Hollanti
In this editorial survey we introduce the special issue of the journal Communications in Mathematics on the topic in the title of the article. Our main goal is to briefly outline s…