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Stephan Baier, Anish Ghosh, DIOPHANTINE APPROXIMATION ON LINES WITH PRIME CONSTRAINTS, The Quarterly Journal of Mathematics, Volume 66, Issue 1, March 2015, Pages 1–12, https://doi.org/10.1093/qmath/hau016
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Abstract
We study the problem of Diophantine approximation on lines in ℝ2 with prime numerator and denominator.
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