12 citations · 70 across the 40 of their papers we have counts for
4 papers · 1 filter
On the Length of Critical Orbits of Stable Quadratic Polynomials
Alina Ostafe, Igor E. Shparlinski
We use the Weil bound of multiplicative character sums together with some recent results of N. Boston and R. Jones, to show that the critical orbit of quadratic polynomials over a…
Short Cycles in Repeated Exponentiation Modulo a Prime
Lev Glebsky, Igor E. Shparlinski
Given a prime , we consider the dynamical system generated by repeated exponentiations modulo , that is, by the map , where and…
Rank statistics for a family of elliptic curves over a function field
Carl Pomerance, Igor E. Shparlinski
We show that the average and typical ranks in a certain parametric family of elliptic curves described by D. Ulmer tend to infinity as the parameter . This is perhaps…
On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles
Igor E. Shparlinski
For three points , and in the -dimensional space $\F_q^n$ over the finite field $\F_q$ of elements we give a natural interpretation of an acute a…