ECM and the Elliott-Halberstam conjecture for quadratic fields

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Applications of sieve methods (11N36) Factorization (11Y05)

Cites Work

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Point counting on reductions of CM elliptic curves
Factoring integers with elliptic curves
Sur le nombre des entiers sans grand facteur premier. (On the number of integers without large prime factor)
Integers without large prime factors
Proofs of some formulae enunciated by Ramanujan.
Primes in arithmetic progressions with friable indices
Bounded gaps between primes
On ideals free of large prime factors
Galois properties of points of finite order of elliptic curves
Some mathematical remarks on the polynomial selection in NFS
Pseudoprime Reductions of Elliptic Curves
A new form of the error term in the linear sieve
Mean values of Hecke L-functions.
Autour des plus grands facteurs premiers d’entiers consÉcutifs voisins d’un entier criblÉ
TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)
Entiers friables dans des progressions arithmétiques de grand module
A classification of ECM-friendly families of elliptic curves using modular curves
NOTE SUR LES VALEURS MOYENNES CRIBLEES DE CERTAINES FONCTIONS ARITHMETIQUES
Faster Interleaved Modular Multiplication Based on Barrett and Montgomery Reduction Methods
A Titchmarsh divisor problem for elliptic curves
Moyennes de certaines fonctions multiplicatives sur les entiers friables, 2
The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results
Small gaps between primes
Number Theory
Public Key Cryptography - PKC 2006

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