A note on the ternary Diophantine equation x(2) - y(2m) = z(n)

Berczes, Attila; Le, Maohua; Pink, Istvan; SOYDAN, GÖKHAN

doi:10.2478/auom-2021-0020

A note on the ternary Diophantine equation x(2) - y(2m) = z(n)

Atıf İçin Kopyala

Berczes A., Le M., Pink I., SOYDAN G.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.29, sa.2, ss.93-105, 2021 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 29 Sayı: 2
Basım Tarihi: 2021
Doi Numarası: 10.2478/auom-2021-0020
Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
Sayfa Sayıları: ss.93-105
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Let N be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x(2) - y(2m) = z(n), x, y, z, m, n is an element of N, gcd(x, y) = 1, m >= 2, n >= 3.