1 citations · 3 across the 6 of their papers we have counts for
8 papers
Two dimensional covering systems and possible prime producing
Andrew Granville, Francesco Pappalardi
We exhibit a new application of two dimensional covering systems, examples of integer pairs for which has a prime divisor from some given finite set of primes, for…
Locally imprimitive points on elliptic curves
Nathan Jones, Francesco Pappalardi, Peter Stevenhagen
Under GRH, any element in the multiplicative group of a number field that is globally primitive (i.e., not a perfect power in ) is a primitive root modulo a set of primes…
Density of the "quasi -rank Artin problem"
Herish Abdullah, Andam Ali Mustafa, Francesco Pappalardi
For a given finitely generated multiplicative subgroup of the rationals which possibly contain negative numbers, we derive, subject to GRH, formulas for the densities of primes for…
On ternary Egyptian fractions with prime denominator
Florian Luca, Francesco Pappalardi
Given a positive integer we let be the number of positive integers such that for some $m_1,m_2,\ldot…
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…
On group structures realized by elliptic curves over arbitrary finite fields
William D. Banks, Francesco Pappalardi, Igor E. Shparlinski
We study the collection of group structures that can be realized as a group of rational points on an elliptic curve over a finite field (such groups are well known to be of rank at…