1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.GR2022
Fundamental polyhedra of projective elementary groups
Daniel E. Martin
For an imaginary quadratic ring, we compute a fundamental polyhedron of , the projective elementary subgroup of . This allows for new, simplifi…
math.NT2020
Reductions between short vector problems and simultaneous approximation
Daniel E. Martin
In 1982, Lagarias showed that solving the approximate Shortest Vector Problem also solves the problem of finding good simultaneous Diophantine approximations. Here we provide a det…
math.NT2019★ 1 cited
Continued fractions over non-Euclidean imaginary quadratic rings
Daniel E. Martin
We propose and study a generalized continued fraction algorithm that can be executed in an arbitrary imaginary quadratic field, the novelty being a non-restriction to the five Eucl…