Expansion for cubes in the Heisenberg group
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2017/06/17
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Journal
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Indian UGC (journal)
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Refrences17
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Citations6
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Norbert Hegyvári ELTE TTK , Institute of Mathematics , Eötvös University , H-1117 Pázmány st. 1/c , Budapest , Hungary
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François Hennecart Univ Lyon, Université Jean Monnet , CNRS, Institut Camille Jordan , 23 rue Michelon, 42023 Saint-Étienne , France
Abstract
Cite
Hegyvári, Norbert, and François Hennecart. “Expansion for Cubes in the Heisenberg Group”. Forum Mathematicum, vol. 30, no. 1, 2017, pp. 227-36, https://doi.org/10.1515/forum-2015-0230.
Hegyvári, N., & Hennecart, F. (2017). Expansion for cubes in the Heisenberg group. Forum Mathematicum, 30(1), 227-236. https://doi.org/10.1515/forum-2015-0230
Hegyvári N, Hennecart F. Expansion for cubes in the Heisenberg group. Forum Mathematicum. 2017;30(1):227-36.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
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|---|---|---|---|---|
| 10.1134/S0081543815060255 | ||||
| New sum-product type estimates over finite fields | Advances in Mathematics |
| 40 | 2016 |
| A structure result for bricks in Heisenberg groups | Journal of Number Theory |
| 6 | 2013 |
| 10.1090/S0002-9939-08-09386-6 | ||||
| The Szemerédi–Trotter type theorem and the sum-product estimate in finite fields | European Journal of Combinatorics |
| 53 | 2011 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
An energy decomposition theorem for matrices and related questions | Canadian Mathematical Bulletin |
| 2023 | |
| Expanding phenomena over higher dimensional matrix rings | Journal of Number Theory |
| 5 | 2020 |
| On a theorem of Hegyvári and Hennecart | Pacific Journal of Mathematics |
| 2 | 2020 |
Expanding phenomena over matrix rings | Forum Mathematicum |
| 6 | 2019 |
Some remarks on products of sets in the Heisenberg group and in the affine group | Forum Mathematicum |
| 4 | 2019 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 6 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 3 |
The category
Science: Mathematics 6
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Expansion for the product of matrices in groups and was published in 2018. The most recent citation comes from a 2023 study titled An energy decomposition theorem for matrices and related questions. This article reached its peak citation in 2020, with 2 citations. It has been cited in 4 different journals. Among related journals, the Forum Mathematicum cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.