On Positive Integer Solutions of the Equation xy + yz + xz = n
1996 ◽
Vol 39
(2)
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pp. 199-202
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Keyword(s):
AbstractAs it had been recognized by Liouville, Hermite, Mordell and others, the number of non-negative integer solutions of the equation in the title is strongly related to the class number of quadratic forms with discriminant —n. The purpose of this note is to point out a deeper relation which makes it possible to derive a reasonable upper bound for the number of solutions.
2018 ◽
2018 ◽
2011 ◽
Vol 07
(06)
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pp. 1603-1614
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2010 ◽
Vol 81
(2)
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pp. 177-185
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Keyword(s):
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