ON THE EXPONENTIAL DIOPHANTINE EQUATION (n-1)(x) + (n+2)(y) = n(z)

Bai H., Kizildere E., SOYDAN G., Yuan P.

COLLOQUIUM MATHEMATICUM, cilt.161, sa.2, ss.239-249, 2020 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 161 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4064/cm7668-6-2019
  • Dergi Adı: COLLOQUIUM MATHEMATICUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.239-249
  • Anahtar Kelimeler: exponential Diophantine equation, primitive divisors of Lucas sequences, Jacobi symbol, lower bounds for linear forms in two logarithms, PRIMITIVE DIVISORS, LINEAR-FORMS, 2 LOGARITHMS, CONJECTURE, NUMBER, LUCAS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Suppose that n is a positive integer. We show that the only positive integer solutions (n, x, y, z) of the exponential Diophantine equation