On the Solutions of the Diophantine Equations P_k=R_m R_n and R_k=P_m P_n

Authors : Ahmet Daşdemir, Ahmet Emin

Pages : 217-227

Doi:10.37094/adyujsci.1666370

View : 45 | Download : 52

Publication Date : 2025-12-31

Article Type : Research Paper

Abstract :This study aims to find all possible solutions (k,m,n) of the Diophantine equations P_k=R_m R_n and R_k=P_m P_n . Our proof is conducted with the famous Matveev theorem and Dujella-Pethő reduction lemma.
Keywords : Pell sayısı, Modifiye Pell-Lucas sayısı, Diophantine denklemi, Matveev teoremi, Logaritmaların lineer formları, Dujella-Pethö lemması

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