Visible Points on Curves over Finite Fields

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dc.creatorShparlinski, I. E.
dc.creatorVoloch, J. F.
dc.date2007-04-19
dc.date.accessioned2026-07-07T07:57:17Z
dc.date.available2026-07-07T07:57:17Z
dc.descriptionFor a prime $p$ and an absolutely irreducible modulo $p$ polynomial $f(U,V) \in \Z[U,V]$ we obtain an asymptotic formulas for the number of solutions to the congruence $f(x,y) \equiv a \pmod p$ in positive integers $x \le X$, $y \le Y$, with the additional condition $\gcd(x,y)=1$. Such solutions have a natural interpretation as solutions which are visible from the origin. These formulas are derived on average over $a$ for a fixed prime $p$, and also on average over $p$ for a fixed integer $a$.
dc.identifierhttps://arxiv.org/abs/0704.2446
dc.identifierhttp://arxiv.org/abs/0704.2446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127592
dc.subjectNumber Theory
dc.subject11D79, 11N69
dc.titleVisible Points on Curves over Finite Fields
dc.typetext

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