Orders of reductions of elliptic curves with many and few prime factors

DOI10.1142/S1793042117501147zbMath1381.11095arXiv1511.02388MaRDI QIDQ5357495

Lee Troupe

Publication date: 8 September 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02388

zbMATH Keywords

elliptic curvesnumber of prime factorssieve methods

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Curves over finite and local fields (11G20) Applications of sieve methods (11N36)

Cites Work

• Prime analogues of the Erdős-Kac theorem for elliptic curves
• Almost Prime Orders of CM Elliptic Curves Modulo p
• TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)
• Reductions of an elliptic curve with almost prime orders
• A Titchmarsh divisor problem for elliptic curves
• The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results
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