On the diophantine equation x2 − Dy2 = nz2

On the Diophantine Equation x2+q2k+1=yn

✍ S.A. Arif; Fadwa S. Abu Muriefah 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 89 KB

In this paper it has been proved that if q is an odd prime, qc7 ðmod 8Þ; n is an odd integer 55, n is not a multiple of 3 and ðh; nÞ ¼ 1, where h is the class number of the filed Qð ffiffiffiffiffiffi ffi Àq p Þ, then the diophantine equation x 2 þ q 2kþ1 ¼ y n has exactly two families of solutions

On the diophantine equation x2 + D = 4pn

✍ Le Maohua 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 376 KB

On the diophantine equation x2−D = 4pn

✍ Le Maohua 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 518 KB

The diophantine equation y2 + k = x3

✍ W.J Ellison; F Ellison; J Pesek; C.E Stahl; D.S Stall 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 428 KB

On the diophantine equation y2 − D = 2k

✍ Nicholas Tzanakis 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 672 KB

The diophantine equation x3 + 3y3 = 2n

✍ Nicholas Tzanakis 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 429 KB