Cyclicity of elliptic curves modulo primes in arithmetic progressions

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Akbal Y., Güloǧlu A. M.

Canadian Journal of Mathematics, cilt.74, sa.5, ss.1277-1309, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 5
  • Basım Tarihi: 2022
  • Doi Numarası: 10.4153/s0008414x21000237
  • Dergi Adı: Canadian Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.1277-1309
  • Anahtar Kelimeler: Chebotarev density theorem., Cyclicity conjecture, primes in arithmetic progressions, reduction of elliptic curves modulo primes
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • TED Üniversitesi Adresli: Evet

Özet

We consider the reduction of an elliptic curve defined over the rational numbers modulo primes in a given arithmetic progression and investigate how often the subgroup of rational points of this reduced curve is cyclic.