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

V. Z. Sharich; A. Ya Kanel’-Belov; I. A. Reshetnikov

doi:10.1134/s0001434621070336

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

V. Z. Sharich, A. Ya Kanel’-Belov, I. A. Reshetnikov

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Original language	English
Pages (from-to)	301-304
Number of pages	4
Journal	Mathematical Notes
Volume	110
Issue number	1-2
DOIs	https://doi.org/10.1134/s0001434621070336
State	Published - Jul 2021
Externally published	Yes

Bibliographical note

Funding Information:
This work was supported by the Russian Science Foundation under grant 17-11-01377.

Keywords

Ramsey theory
combinatorial geometry
hyperbolic rotation
transformation group
van der Waerden’s theorem

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10.1134/s0001434621070336

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title = "Existence of Monochromatic Simplices of Given Volume in a Colored Rational Lattice",

keywords = "Ramsey theory, combinatorial geometry, hyperbolic rotation, transformation group, van der Waerden{\textquoteright}s theorem",

author = "Sharich, {V. Z.} and Kanel{\textquoteright}-Belov, {A. Ya} and Reshetnikov, {I. A.}",

note = "Funding Information: This work was supported by the Russian Science Foundation under grant 17-11-01377. ",

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AU - Sharich, V. Z.

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AU - Reshetnikov, I. A.

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KW - combinatorial geometry

KW - hyperbolic rotation

KW - transformation group

KW - van der Waerden’s theorem

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

Bibliographical note

Keywords

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