Results 11 to 20 of about 134,696 (267)
Rational points on quartics [PDF]
Duke Mathematical Journal, 2000 32 pages ...
Harris, Joe, Tschinkel, Yuri
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Rational Singularities and Rational Points [PDF]
Pure and Applied Mathematics Quarterly, 2008 Comment: 12 ...
Blickle, Manuel, Esnault, Hélène
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Primitive Points in Rational Polygons [PDF]
Canadian Mathematical Bulletin, 2020 AbstractLet ${\mathcal{A}}$ be a star-shaped polygon in the plane, with rational vertices, containing the origin. The number of primitive lattice points in the dilate $t{\mathcal{A}}$ is asymptotically $\frac{6}{\unicode[STIX]{x1D70B}^{2}}\text{Area}(t{\mathcal{A}})$ as $t\rightarrow \infty$. We show that the error term is both $\unicode[STIX]{x1D6FA}_{
Bárány, I +3 more
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Game interrupted: The rationality of considering the future [PDF]
Judgment and Decision Making, 2013 The “problem of points”, introduced by Paccioli in 1494 and solved by Pascal and Fermat 160 years later, inspired the modern concept of probability. Incidentally, the problem also shows that rational decision-making requires the consideration of future ...
Brandon Almy, Joachim I. Krueger
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Families of polynomials of every degree with no rational preperiodic points
Comptes Rendus. Mathématique, 2021 Let $K$ be a number field. Given a polynomial $f(x)\in K[x]$ of degree $d\ge 2$, it is conjectured that the number of preperiodic points of $f$ is bounded by a uniform bound that depends only on $d$ and $[K:\mathbb{Q}]$.
Sadek, Mohammad
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Counting rational points on quadric surfaces
Discrete Analysis, 2018 Counting rational points on quadric surfaces, Discrete Analysis 2018:15, 29 pp. A _quadric hypersurface_ of dimension $D$ is the zero set of a quadratic form $Q$ in $D+2$ variables. If $Q(x_1,\dots,x_{D+2})=0$, then $Q(\lambda x_1,\dots,\lambda x_{D+2})=
Tim Browning, Roger Heath-Brown
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All rational one-loop Einstein-Yang-Mills amplitudes at four points
Journal of High Energy Physics, 2018 All four-point mixed gluon-graviton amplitudes in pure Einstein-Yang-Mills theory with at most one state of negative helicity are computed at one-loop order and maximal powers of the gauge coupling, using D-dimensional generalized unitarity.
Dhritiman Nandan +2 more
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Birational Quadratic Planar Maps with Generalized Complex Rational Representations
Mathematics, 2023 Complex rational maps have been used to construct birational quadratic maps based on two special syzygies of degree one. Similar to complex rational curves, rational curves over generalized complex numbers have also been constructed by substituting the ...
Xuhui Wang +4 more
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Frontiers in Public Health, 2022 BackgroundThe COVID-19 pandemic is a public health emergency of international concern. This study aimed to describe the cognition and social behaviors related to COVID-19 among medical college students in China and to explore the relevant factors that ...
Qiu Zhang +5 more
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Simultaneous rational periodic points of degree-2 rational maps
Journal of Number Theory, 2023 Let $S$ be the collection of quadratic polynomial maps, and degree $2$-rational maps whose automorphism groups are isomorphic to $C_2$ defined over the rational field. Assuming standard conjectures of Poonen and Manes on the period length of a periodic point under the action of a map in $S$, we give a complete description of triples $(f_1,f_2,p)$ such ...
Burcu Barsakçı, Mohammad Sadek
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