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.

Funding

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

Funders	Funder number
Russian Science Foundation	17-11-01377

Keywords

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

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10.1134/s0001434621070336

Cite this

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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. ",

year = "2021",

month = jul,

doi = "10.1134/s0001434621070336",

language = "אנגלית",

volume = "110",

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AU - Sharich, V. Z.

AU - Kanel’-Belov, A. Ya

AU - Reshetnikov, I. A.

N1 - Funding Information: This work was supported by the Russian Science Foundation under grant 17-11-01377.

PY - 2021/7

Y1 - 2021/7

KW - Ramsey theory

KW - combinatorial geometry

KW - hyperbolic rotation

KW - transformation group

KW - van der Waerden’s theorem

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VL - 110

SP - 301

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JO - Mathematical Notes

JF - Mathematical Notes

IS - 1-2

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

Bibliographical note

Funding

Keywords

Access to Document

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