Results 51 to 60 of about 3,799,599 (344)
Axioms, 2021 This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are
Hsien-Chung Wu
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Diophantine and tropical geometry, and uniformity of rational points on curves [PDF]
Algebraic Geometry, 2016 We describe recent work connecting combinatorics and tropical/non-Archimedean geometry to Diophantine geometry, particularly the uniformity conjectures for rational points on curves and for torsion packets of curves.
Eric Katz +2 more
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Counting algebraic numbers in short intervals with rational points
Журнал Белорусского государственного университета: Математика, информатика, 2019 In 2012 it was proved that real algebraic numbers follow a nonuniform but regular distribution, where the respective definitions go back to H. Weyl (1916) and A. Baker and W. Schmidt (1970).
Vasily I. Bernik +2 more
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Mathematics, 2020 The interpolation of Thiele-type continued fractions is thought of as the traditional rational interpolation and plays a significant role in numerical analysis and image interpolation.
Le Zou +5 more
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The Topology of Rational Points
Experimental Mathematics, 1992 The aim of this article is to provoke a discussion concerning the general nature of the topological closure of the set of rational solutions of systems of polynomial equations with rational coefficients.
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The distribution of rational points on conics
Acta Arithmetica, 2023 We examine the counting function for rational points on conics, and show how the point where the asymptotic behaviour begins depends on the size of the smallest zero.
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POINTS ON HYPERBOLAS AT RATIONAL DISTANCE [PDF]
International Journal of Number Theory, 2012 Richard Guy asked for the largest set of points which can be placed in the plane so that their pairwise distances are rational numbers. In this article, we consider such a set of rational points restricted to a given hyperbola. To be precise, for rational numbers a, b, c, and d such that the quantity D = (ad - bc)/(2a2) is defined and non-zero, we ...
Goins, Edray Herber, Mugo, Kevin
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Rational points of bounded height on general conic bundle surfaces [PDF]
, 2016 A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on Fano varieties. In this paper we use conic bundles to obtain correct lower bounds for a wide class of surfaces over number fields for which the conjecture ...
C. Frei, D. Loughran, E. Sofos
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Rational Bézier curves with infinitely many integral points [PDF]
, 2023 summary:In this paper we consider rational Bézier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients ...
Dospra, Petroula
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