Add to ORKGWe show that the Lang-Trotter conjecture holds when one averages over those elliptic curves whose Mordell-Weil group over Q has a point of order m. That is to say, if Em(t) is the set of all such elliptic curves with parameters bounded by t, we will show that lim t→∞ 1 #Em(t
The authors of the paper under review extend their study of the Lang-Trotter conjecture for elliptic...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let E 1 and E 2 be two elliptic curves without complex multiplication over the rationals. For primes...
We show that the average analytic rank of elliptic curves with prescribed torsion (Formula presented...
Inspired by the work of Lang-Trotter on the densities of primes with fixed Frobenius traces for elli...
Let E be an elliptic curve defined over Q . For p a prime of good reduction, let a p (E) be the trac...
We show that the average analytic rank of elliptic curves with prescribed torsion $G$ is bounded for...
Let $E/\QQ$ be an elliptic curve; for all but finitely many primes $p$, reduction modulo $p$ yields ...
Let $E/\QQ$ be an elliptic curve; for all but finitely many primes $p$, reduction modulo $p$ yields ...
Abstract We compute the averages over elliptic curves of the constants occurring in the Lang–Trotter...
AbstractIn this paper, we examine the Lang–Trotter conjecture for elliptic curves which possess rati...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
Abstract. In this paper, we study a class of elliptic curves over Q with Q-torsion group Z2×Z2, and ...
The authors of the paper under review extend their study of the Lang-Trotter conjecture for elliptic...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let E 1 and E 2 be two elliptic curves without complex multiplication over the rationals. For primes...
We show that the average analytic rank of elliptic curves with prescribed torsion (Formula presented...
Inspired by the work of Lang-Trotter on the densities of primes with fixed Frobenius traces for elli...
Let E be an elliptic curve defined over Q . For p a prime of good reduction, let a p (E) be the trac...
We show that the average analytic rank of elliptic curves with prescribed torsion $G$ is bounded for...
Let $E/\QQ$ be an elliptic curve; for all but finitely many primes $p$, reduction modulo $p$ yields ...
Let $E/\QQ$ be an elliptic curve; for all but finitely many primes $p$, reduction modulo $p$ yields ...
Abstract We compute the averages over elliptic curves of the constants occurring in the Lang–Trotter...
AbstractIn this paper, we examine the Lang–Trotter conjecture for elliptic curves which possess rati...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
Abstract. In this paper, we study a class of elliptic curves over Q with Q-torsion group Z2×Z2, and ...
The authors of the paper under review extend their study of the Lang-Trotter conjecture for elliptic...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...