Frobenius distributions in short intervals for CM elliptic curves

DOI10.1016/j.jnt.2018.01.007zbMath1411.11052OpenAlexW2790368229MaRDI QIDQ1708084

Anthony Agwu, Siddarth Kannan, Phillip Harris, Huixi Li, Kevin L. James

Publication date: 4 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.01.007

zbMATH Keywords

elliptic curvecomplex multiplicationLang-Trotter conjectureSato-Tate conjectureFrobenius distributionstrace of Frobeniuselliptic champion primeelliptic trailing prime

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (2)

Frobenius distributions of elliptic curves in short intervals on average ⋮ Extremal primes for elliptic curves without complex multiplication

Cites Work

• Extremal primes for elliptic curves
• Extremal primes for elliptic curves with complex multiplication
• A family of Calabi-Yau varieties and potential automorphy. II.
• On the distance between consecutive prime ideal numbers in sectors
• The Arithmetic of Elliptic Curves
• TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)
• A Titchmarsh divisor problem for elliptic curves
• Notes on elliptic curves. II.
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