Cyclicity of CM elliptic curves modulo p

By Alina Carmen Cojocaru. 2003

55 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Information Systems

View Paper: https://www.semanticscholar.org/paper/5eadb8522befdd987cf02c581b4e277d3e9db498

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. William D. Banks
2. Ernst Kani
3. Igor E. Shparlinski

In Geometry and Topology

1. Igor E. Shparlinski
2. Alina Carmen Cojocaru
3. William D. Banks
4. Ernst Kani
5. Richard A. Brualdi
6. 'Alvaro Lozano-Robledo

In Information Systems

1. Igor E. Shparlinski
2. William D. Banks
3. Ernst Kani
4. Alina Carmen Cojocaru

Citations in the corpus

• On the Surjectivity of the Galois Representations Associated to Non-CM Elliptic Curves (2005, background): “For example, this problem has applications in the study of certain diophantine equations (see [Mer]) or in the study of the curve Ep as p varies (see [Co]).”
• Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height (2006, background): “The conjectured asymptotic formula ΠCa,b(x) ∼ Ca,b · x log x (x→ ∞), where Ca,b is a constant that depends only on a and b, has been established conditionally (under the Extended Riemann Hypothesis) in some cases, and there are several unconditional lower bounds on ΠCa,b(x); see the original papers ”