Solutions of the Diophantine Equation 7X2 + Y7 = Z2 from Recurrence Sequences
Consider the system x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, the integer solutions of such systems have been investigated by many authors using the congruence arguments and the quadratic reciprocity. In this paper, we use Kedlaya’s procedure and the technique...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-06-01
|
| Series: | Communications in Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/cm-2020-0005 |