Bounds on bilinear forms with Kloosterman sums
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2023/05/11
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Indian UGC (journal)
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Refrences54
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Citations3
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Bryce Kerr School of Science University of New South Wales Canberra ACT Australia
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Igor E. Shparlinski Department of Pure Mathematics University of New South Wales Sydney NSW Australia
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Xiaosheng Wu School of Mathematics Hefei University of Technology Hefei P.R. China
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Ping Xi School of Mathematics and Statistics Xi'an Jiaotong University Xi'an P.R. China
Abstract
Cite
Kerr, Bryce, et al. “Bounds on Bilinear Forms With Kloosterman Sums”. Journal of the London Mathematical Society, vol. 108, no. 2, 2023, pp. 578-21, https://doi.org/10.1112/jlms.12753.
Kerr, B., Shparlinski, I. E., Wu, X., & Xi, P. (2023). Bounds on bilinear forms with Kloosterman sums. Journal of the London Mathematical Society, 108(2), 578-621. https://doi.org/10.1112/jlms.12753
Kerr B, Shparlinski IE, Wu X, Xi P. Bounds on bilinear forms with Kloosterman sums. Journal of the London Mathematical Society. 2023;108(2):578-621.
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums | 2020 | |||
| Large sieve inequalities for algebraic trace functions, with an appendix by É. Fouvry, E. Kowalski and Ph. Michel | 2017 | |||
| Appendix to H. Kim, Functoriality for the exterior square of GL(4)${\mathrm{GL}}(4)$ and the symmetric fourth of GL(2)${\mathrm{GL}}(2)$ | Journal of the American Mathematical Society |
| 2003 | |
| Sums of characters over prime numbers | 1970 | |||
| The second moment theory of families of L$L$‐functions | Memoirs of the American Mathematical Society |
| 2023 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Bilinear forms with Kloosterman and Gauss sums in function fields | Finite Fields and Their Applications |
| 2024 | |
Chowla and Sarnak conjectures for Kloosterman sums | Mathematische Nachrichten |
| 2023 | |
The fourth moment of Dirichlet L-functions along the critical line | Forum Mathematicum |
| 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 3 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 2 |
The category
Science: Mathematics 3
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Chowla and Sarnak conjectures for Kloosterman sums and was published in 2023. The most recent citation comes from a 2024 study titled Bilinear forms with Kloosterman and Gauss sums in function fields. This article reached its peak citation in 2023, with 2 citations. It has been cited in 3 different journals. Among related journals, the Finite Fields and Their Applications cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.