Francesco Pappalardi

The Lang-Trotter Conjecture for primitive points predicts an expression for the density of primes p for which a fixed rational point (not torsion) of a fixed elliptic curve defined on the rational numbers is a generator of the curve reduced modulo p...

(Please note that this abstract has been reformatted for the web, and some of the original mathematical typesetting may have been lost. Click here [.pdf] for original formatting.) Let n be a positive integer, G be a group and let ν = (ν 1,...,ν n) be...

We shall start by outlining some aspects of the long history of the Artin Conjecture. Then we shall consider a multiplicative subgroup G of Q*. If p is a prime for which the valuation v p(x) = 0 for every x in G, then the group G p ={x (mod p): x is...