A Note on Integer Solutions of the Diophantine Equation x2-dy2=1
1956 ◽
Vol 3
(1)
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pp. 55-56
Keyword(s):
In the equationdis any positive integer which is not a perfect square. For convenience we shall consider only those solutions of (1) for which x and yare both positive. All the others can be obtained from these. In fact, it is well known that if (x0, y0) is the minimum positive integer solution of (1), then all integer solutions (x, y) are given byand, in particular, all positive integer solutions are given by
2015 ◽
Vol 11
(04)
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pp. 1107-1114
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2018 ◽
Vol 14
(05)
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pp. 1223-1228
2017 ◽
Vol 55
(1)
◽
pp. 115-118
2010 ◽
Vol 81
(2)
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pp. 177-185
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Keyword(s):
2014 ◽
Vol 90
(1)
◽
pp. 9-19
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2009 ◽
Vol 51
(3)
◽
pp. 659-667
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Keyword(s):