V. Z. Sharich, A. Ya. Kanel-Belov, I. A. Reshetnikov, “Existence of Monochromatic Simplices of Given Volume in a Colored Rational Lattice”, Mat. Zametki, 2021, Volume 110, Issue 2,Pages <nobr>317–320</nobr>

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Mat. Zametki, 2021 Volume 110, Issue 2, Pages 317–320 (Mi mzm13198)

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Brief Communications

Existence of Monochromatic Simplices of Given Volume in a Colored Rational Lattice

V. Z. Sharich^a, A. Ya. Kanel-Belov^b, I. A. Reshetnikov^c

^a National Research University "Higher School of Economics", Moscow
^b Lomonosov Moscow State University
^c Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

Keywords: Ramsey theory, hyperbolic rotation, combinatorial geometry, van der Waerden's theorem, transformation group.

Received: 16.04.2021

DOI: 10.4213/mzm13198

English version: Mathematical Notes, 2021, 110:2, 301–304

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© Steklov Math. Inst. of RAS, 2026