1 citations · 1 across the 2 of their papers we have counts for
4 papers
On the moments of torsion points modulo primes and their applications
Amir Akbary, Peng-Jie Wong
Let be the group of -torsion points of a commutative algebraic group defined over a number field . For a prime ideal , we let $N_{\…
On the Lang-Trotter conjecture for two elliptic curves
Amir Akbary, James Parks
Following Lang and Trotter we describe a probabilistic model that predicts the distribution of primes with given Frobenius traces at for two fixed elliptic curves over $\ma…
The Signs in Elliptic Nets
Amir Akbary, Manoj Kumar, Soroosh Yazdani
We give a generalization of a theorem of Silverman and Stephens regarding the signs in an elliptic divisibility sequence to the case of an elliptic net. We also describe applicatio…
On the greatest prime factor of some divisibility sequences
Amir Akbary, Soroosh Yazdani
Let denote the greatest prime factor of . For integer , M. Ram Murty and S. Wong proved that, under the assumption of the ABC conjecture, $$P(a^n-1)\gg_{ε, a} n^{2-ε…