The Rational Points Close to a Space Curve

Martin N. Huxley ()
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Martin N. Huxley: Cardiff University, School of Mathematics

A chapter in Number Theory in Memory of Eduard Wirsing, 2023, pp 185-197 from Springer

Abstract: Abstract We discuss methods to find some upper bound for the number of rational points ( a ∕ q , b ∕ q , c ∕ q ) $$(a/q,b/q,c/q)$$ with least common denominator q ≤ Q $$q \leq Q$$ which lie close to an arc of a space curve, scaled by a factor M ≥ 1 $$M \geq 1$$ .

Keywords: Rational points; Points close to a curve; Space curve (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31617-3_12

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DOI: 10.1007/978-3-031-31617-3_12

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