On the diophantine equation p x 2 + q 2 m = y p
Let p, q be primes and p > 3 . Let further x, y and m be positive integers such that ( x , y ) = 1 . In this paper we solve the title equation completely.
Saved in:
| Published in | Journal of number theory Vol. 128; no. 6; pp. 1670 - 1675 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.06.2008
|
| Online Access | Get full text |
Cover
Loading…
| Summary: | Let
p,
q be primes and
p
>
3
. Let further
x,
y and
m be positive integers such that
(
x
,
y
)
=
1
. In this paper we solve the title equation completely. |
|---|---|
| ISSN: | 0022-314X 1096-1658 |
| DOI: | 10.1016/j.jnt.2008.01.005 |