How to solve a quadratic equation in integers
1981 ◽
Vol 89
(1)
◽
pp. 1-5
◽
Keyword(s):
In answer to a question posed by J. L Britton in (2), we sketch in this note an effective procedure to decide whether an arbitrary quadratic equationwith rational coefficients, has a solution in integers. A similar procedure will in fact decide whether such an equation over a (suitably specified) algebraic number field k has a solution in any (suitably specified) order in k; but we shall not burden the exposition by giving chapter and verse for this claim.
Keyword(s):
1986 ◽
Vol 100
(2)
◽
pp. 237-248
◽
1967 ◽
Vol 63
(3)
◽
pp. 693-702
◽
1993 ◽
Vol 113
(3)
◽
pp. 449-460
◽
Keyword(s):
1963 ◽
Vol 3
(4)
◽
pp. 408-434
◽
1976 ◽
Vol 15
(1)
◽
pp. 33-57
◽
1966 ◽
Vol 6
(4)
◽
pp. 399-401