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• W2259475584 abstract "In this paper we obtain the Lebesgue and Hausdorff measure results for the set of vectors satisfying infinitely many fully non-linear Diophantine inequalities. The set is associated with a class of linear inhomogeneous partial differential equations whose solubility depends on a certain Diophantine condition. The failure of the Diophantine condition guarantees the existence of a smooth solution." @default.
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• W2259475584 date "2018-03-27" @default.
• W2259475584 modified "2023-09-22" @default.
• W2259475584 title "A problem in non-linear Diophantine approximation" @default.
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• W2259475584 doi "https://doi.org/10.1088/1361-6544/aaa498" @default.
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