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math.NT2017
On Functional Graphs of Quadratic Polynomials
Bernard Mans, Min Sha, Igor E. Shparlinski +1
We study functional graphs generated by quadratic polynomials over prime fields. We introduce efficient algorithms for methodical computations and provide the values of various dir…
math.NT2017
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…