Counting integral points near curves: an exposition
Tianliang Wu
Abstract
We give a detailed account of the recent work of Hickman and Srivastava on counting integral points in a δ-neighbourhood of a dilate q M of a non-degenerate curve M ⊂ Rn , n 3 . Our aim is expository: we simplify the proof, provide additional details, refine the statement of the theorem and provide calculations from a more fundamental perspective. We also formulate a new conjecture based on recent work of Chen, Seeger, Srivastava and Technau.
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