scientific article

zbMath0598.14018MaRDI QIDQ3731746

M. Ram Murty, Rajiv Gupta

Publication date: 1986

Full work available at URL: http://www.numdam.org/item?id=CM_1986__58_1_13_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

primitive rootscomplex multiplicationelliptic analogue of Artin's conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Distribution of integers in special residue classes (11N69)

Related Items (26)

Primality of the number of points on an elliptic curve over a finite field ⋮ Artin's conjecture for abelian varieties ⋮ Periods of orbits modulo primes ⋮ On the supersingular reduction of elliptic curves ⋮ Artin's conjecture for primitive roots ⋮ A remark on the Lang-Trotter and Artin conjectures ⋮ Artin's conjecture for Drinfeld modules ⋮ Primitive points on constant elliptic curves over function fields ⋮ Blown-up toric surfaces with non-polyhedral effective cone ⋮ Primitive submodules for Drinfeld modules ⋮ Effective results on linear dependence for elliptic curves ⋮ The Distribution of Lucas and Elliptic Pseudoprimes ⋮ Square-free orders for CM elliptic curves modulo \(p\) ⋮ Reductions of points on elliptic curves ⋮ Cyclicity of elliptic curves modulo \(p\) and elliptic curve analogues of Linnik's problem ⋮ Elliptic Pseudoprimes ⋮ Orders of points in families of elliptic curves ⋮ Division fields of \(Y^ 2=X^ 3-aX\) ⋮ Cyclicity statistics for elliptic curves over finite fields ⋮ Divisibility of reduction in groups of rational numbers ⋮ On primitive points of elliptic curves with complex multiplication ⋮ On the Number of Elliptic Pseudoprimes ⋮ On the ranks of elliptic curves in families of quadratic twists over number fields ⋮ Overview of the Work of Kumar Murty ⋮ A remark on Artin's conjecture ⋮ Cyclicity and generation of points mod \(p\) on elliptic curves

Cites Work

• On Artin's conjecture
• A remark on Artin's conjecture
• Quelques applications du théorème de densité de Chebotarev
• On the conjecture of Birch and Swinnerton-Dyer
• On the large sieve method in algebraic number fields
• Rosser's sieve
• Primitive points on elliptic curves
• The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results
• On Artin's conjecture.
• Primes in arithmetic progressions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: