Fundamental units and consecutive squarefull numbers

Aktas K., Murty M. R.

INTERNATIONAL JOURNAL OF NUMBER THEORY, cilt.13, sa.1, ss.243-252, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s1793042117500142
  • Dergi Adı: INTERNATIONAL JOURNAL OF NUMBER THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.243-252
  • Gazi Üniversitesi Adresli: Evet

Özet

We connect several seemingly unrelated conjectures of Ankeny, Artin, Chowla and Mordell to a conjecture of Erdos on consecutive squarefull numbers. We then study the Erdos conjecture and relate it to the abc conjecture. We also derive by elementary methods several unconditional results pertaining to the Erdos conjecture.