On the energy variant of the sum-product conjecture
Article Properties
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DOI (url)
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Publication Date2019/09/10
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Indian UGC (journal)
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Citations8
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Misha Rudnev University of Bristol, UK
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Ilya D. Shkredov Steklov Mathematical Institute, Moscow, Russian Academy of Sciences, Moscow, and MIPT, Moscow, Russian Federation
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Sophie Stevens University of Bristol, UK
Cite
Rudnev, Misha, et al. “On the Energy Variant of the Sum-Product Conjecture”. Revista Matemática Iberoamericana, vol. 36, no. 1, 2019, pp. 207-32, https://doi.org/10.4171/rmi/1126.
Rudnev, M., Shkredov, I. D., & Stevens, S. (2019). On the energy variant of the sum-product conjecture. Revista Matemática Iberoamericana, 36(1), 207-232. https://doi.org/10.4171/rmi/1126
Rudnev M, Shkredov ID, Stevens S. On the energy variant of the sum-product conjecture. Revista Matemática Iberoamericana. 2019;36(1):207-32.
Journal Category
Science
Mathematics
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Bounds on bilinear forms with Kloosterman sums | Journal of the London Mathematical Society |
| 3 | 2023 |
An energy decomposition theorem for matrices and related questions | Canadian Mathematical Bulletin |
| 2023 | |
| A point-sphere incidence bound in odd dimensions and applications | Comptes Rendus. Mathématique |
| 2 | 2022 |
| Additive and multiplicative Sidon sets | Acta Mathematica Hungarica |
| 3 | 2021 |
An update on the sum-product problem | Mathematical Proceedings of the Cambridge Philosophical Society |
| 2021 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 8 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Distribution of distances in positive characteristic and was published in 2020. 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 3 citations. It has been cited in 7 different journals, 14% of which are open access. Among related journals, the Pacific Journal of Mathematics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.