AbstractLet E be an elliptic curve defined over Q having no complex multiplication, and let πE(x) be the number of supersingular primes p ≤ x. The aim of this paper is to show that πE(x)=Ox(logx)2−ϵ which improves a result of Serre
For an elliptic curve E∕K without potential complex multiplication we bound the index of the image o...
For an elliptic curve E∕K without potential complex multiplication we bound the index of the image o...
The thesis starts with two expository chapters. In the first one we discuss abelian varieties with p...
AbstractLet E be an elliptic curve defined over Q having no complex multiplication, and let πE(x) be...
Fix an elliptic curve E over Q. An extremal prime for E is a prime p of good reduction such that the...
Inspired by the work of Lang-Trotter on the densities of primes with fixed Frobenius traces for elli...
International audienceLet E be an elliptic curve over Q without complex multiplication. For each pri...
In 1986, Gupta and Murty proved the Lang-Trotter conjecture in the case of elliptic curves having co...
International audienceLet E be an elliptic curve over Q without complex multiplication. For each pri...
For an elliptic curve $E$ defined over a number field $K$, we study the density of the set of primes...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. ...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. ...
Let E be an elliptic curve defined over Q . For p a prime of good reduction, let a p (E) be the trac...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. Let...
Let E/ℚ be an elliptic curve with complex multiplication (CM), and for each prime p of good reductio...
For an elliptic curve E∕K without potential complex multiplication we bound the index of the image o...
For an elliptic curve E∕K without potential complex multiplication we bound the index of the image o...
The thesis starts with two expository chapters. In the first one we discuss abelian varieties with p...
AbstractLet E be an elliptic curve defined over Q having no complex multiplication, and let πE(x) be...
Fix an elliptic curve E over Q. An extremal prime for E is a prime p of good reduction such that the...
Inspired by the work of Lang-Trotter on the densities of primes with fixed Frobenius traces for elli...
International audienceLet E be an elliptic curve over Q without complex multiplication. For each pri...
In 1986, Gupta and Murty proved the Lang-Trotter conjecture in the case of elliptic curves having co...
International audienceLet E be an elliptic curve over Q without complex multiplication. For each pri...
For an elliptic curve $E$ defined over a number field $K$, we study the density of the set of primes...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. ...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. ...
Let E be an elliptic curve defined over Q . For p a prime of good reduction, let a p (E) be the trac...
This dissertation presents results related to two problems in the arithmetic of elliptic curves. Let...
Let E/ℚ be an elliptic curve with complex multiplication (CM), and for each prime p of good reductio...
For an elliptic curve E∕K without potential complex multiplication we bound the index of the image o...
For an elliptic curve E∕K without potential complex multiplication we bound the index of the image o...
The thesis starts with two expository chapters. In the first one we discuss abelian varieties with p...
DOI
Add to ORKG