A note on rational points near planar curves
classification
🧮 math.NT
keywords
asymptoticconjecturedformulanoteplanarpointsrationalassumptions
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Under fairly natural assumptions, Huang counted the number of rational points lying close to an arc of a planar curve. He obtained upper and lower bounds of the correct order of magnitude, and conjectured an asymptotic formula. In this note, we establish the conjectured asymptotic formula.
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