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- W2494065145 abstract "By the work of Abu Muriefah, Al-Rashed, Dujella and the author, the problem of the existence of D(z)-quadruples in the ring Z[√ -2] has been solved, except for the cases z=24a+2+(12b+6)√ -2, z=24a+5+(12b+6)√ -2, z=48a+44+(24b+12)√ -2. In this paper, we present some new formulas for D(z)-quadruples in these remaining cases, involving some congruence conditions modulo 11 on integers a and b. We show the existence of D(z)-quadruple for significant proportion of the remaining three cases." @default.
- W2494065145 created "2016-08-23" @default.
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- W2494065145 date "2013-01-01" @default.
- W2494065145 modified "2023-09-27" @default.
- W2494065145 title "On the existence of Diophantine quadruples in $Z[sqrt(-2)]$" @default.
- W2494065145 doi "https://doi.org/10.18514/mmn.2013.565" @default.
- W2494065145 hasPublicationYear "2013" @default.
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