1 citations · 2 across the 2 of their papers we have counts for
4 papers
On distances in lattices from algebraic number fields
Arturas Dubickas, Min Sha, Igor E. Shparlinski
In this paper, we study a classical construction of lattices from number fields and obtain a series of new results about their minimum distance and other characteristics by introdu…
On multiplicatively dependent vectors of algebraic numbers
Francesco Pappalardi, Min Sha, Igor E. Shparlinski +1
In this paper, we give several asymptotic formulas for the number of multiplicatively dependent vectors of algebraic numbers of fixed degree, or within a fixed number field, and bo…
Counting dynamical systems over finite fields
Alina Ostafe, Min Sha
We continue previous work to count non-equivalent dynamical systems over finite fields generated by polynomials or rational functions.
Bounding the -invariant of integral points on modular curves
Min Sha
In this paper, we give some effective bounds for the -invariant of integral points on arbitrary modular curves over arbitrary number fields assuming that the number of cusps is…