Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleOn the Diophantine equations z² = k(k² + 3) and z² = k(k² + 12).AuthorsIslam, Shah Mohammad Shahidul; Majumdar, Abdullah-Al-KafiAbstractThis paper provides an analytical method of finding all the (positive, integral) solutions of the Diophantine equation z² = k(k²+3). We also prove analytically that the Diophantine equation z² = k(k²+1²) has no positive, integer solution.SubjectsDIOPHANTINE equations; INTEGERSPublicationJournal of the Bangladesh Academy of Sciences, 2021, Vol 45, Issue 1, p127ISSN0378-8121Publication typeArticleDOI10.3329/jbas.v45i1.54265