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On a theorem of
Hegyvári and Hennecart
Dao Nguyen Van Anh, Le Quang Ham, Doowon Koh, Thang Pham and Le Anh Vinh |
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Vol. 305 (2020), No. 2, 407–421
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DOI: 10.2140/pjm.2020.305.407
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Abstract |
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We study growth rate of product of sets in the Heisenberg group over finite fields and the complex numbers. More precisely, we will give improvements and extensions of recent results due to Hegyvári and Hennecart (2018). |
Keywords
finite fields, matrix, sum-product estimates, incidences
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Mathematical Subject Classification 2010
Primary: 11T06, 11T55, 20G40
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Milestones
Received: 10 August 2019
Revised: 21 November 2019
Accepted: 21 November 2019
Published: 29 April 2020
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Authors |
| Dao Nguyen Van Anh | |
| The Olympia Schools Hanoi Hanoi Vietnam |
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| Le Quang Ham | |
| University of Science Vietnam National University Hanoi Hanoi Vietnam |
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| Doowon Koh | |
| Department of Mathematics Chungbuk National University Cheongju City South Korea |
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| Thang Pham | |
| Department of Mathematics University of Rochester Rochester, NY United States |
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| Le Anh Vinh | |
| University of Education Vietnam National University - Hanoi Vietnam Institute of Educational Sciences Hanoi Vietnam |
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