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On the Clique and the Chromatic Numbers of High-Dimensional Distance Graphs,uch a way that any two points at the distance 1 apart receive different colours. Of course, in this definition, distance 1 may be replaced by an arbitrary fixed distance . > 0, due to the homogeneity of the Euclidean space. In other words, the quantity .(ℝ.) is the usual chromatic number of a graph., provided..昏睡中 发表于 2025-3-22 05:10:22
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tal aspects, arithmetic algebraic geometry, as well as graph theory and cryptography. While some papers do contain new results, several of the papers are expository articles that mention open questions, which will be useful to young researchers.978-93-86279-46-0女歌星 发表于 2025-3-22 20:44:20
Conference proceedings 2009ndra Research Institute. In recent years the interest in number theory has increased due to its applications in areas like error-correcting codes and cryptography. These proceedings contain papers in various areas of number theory, such as combinatorial, algebraic, analytic and transcendental aspectEsalate 发表于 2025-3-22 22:26:36
Variations of the Sato-Tate Conjecture, for details). In the non-CM case, John Tate and independently Mikio Sato conjectured around 1960 (though Tate’s paper appeared much later) that the angles are uniformly distributed with respect to the measure ..失眠症 发表于 2025-3-23 02:27:33
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Diophantine Approximation by Numbers of Small Height, and Van der Poorten , also by Luckhardt and Schmidt . See also Section 6.5 in Bombieri and Gubler . In all these works good estimates were given only for approximations . of large Height.