Aleshina, S. A.; V’yugin, I. V. On a polynomial version of the sum-product problem for subgroups. (English. Russian original) Zbl 1521.11012 Math. Notes 113, No. 1, 3-9 (2023); translation from Mat. Zametki 113, No. 1, 3-10 (2023). MSC: 11B30 11T99 PDFBibTeX XMLCite \textit{S. A. Aleshina} and \textit{I. V. V'yugin}, Math. Notes 113, No. 1, 3--9 (2023; Zbl 1521.11012); translation from Mat. Zametki 113, No. 1, 3--10 (2023) Full Text: DOI arXiv
Rudnev, Misha; Shkredov, Ilya D. On the growth rate in \(\mathrm{SL_2}(\mathbb{F}_p)\), the affine group and sum-product type implications. (English) Zbl 07740347 Mathematika 68, No. 3, 738-783 (2022). MSC: 20G40 05E16 11B30 11B75 11T99 51E15 PDFBibTeX XMLCite \textit{M. Rudnev} and \textit{I. D. Shkredov}, Mathematika 68, No. 3, 738--783 (2022; Zbl 07740347) Full Text: DOI arXiv
Rudnev, Misha; Stevens, Sophie An update on the sum-product problem. (English) Zbl 1514.11016 Math. Proc. Camb. Philos. Soc. 173, No. 2, 411-430 (2022). Reviewer: Audie Warren (Linz) MSC: 11B13 11B30 11B75 PDFBibTeX XMLCite \textit{M. Rudnev} and \textit{S. Stevens}, Math. Proc. Camb. Philos. Soc. 173, No. 2, 411--430 (2022; Zbl 1514.11016) Full Text: DOI arXiv
Bradshaw, Peter; Hanson, Brandon; Rudnev, Misha Higher convexity and iterated second moment estimates. (English) Zbl 1515.11012 Electron. J. Comb. 29, No. 3, Research Paper P3.6, 23 p. (2022). MSC: 11B30 11B13 05B10 PDFBibTeX XMLCite \textit{P. Bradshaw} et al., Electron. J. Comb. 29, No. 3, Research Paper P3.6, 23 p. (2022; Zbl 1515.11012) Full Text: DOI arXiv
Zhelezov, Dmitrii; Pálvölgyi, Dömötör Query complexity and the polynomial Freiman-Ruzsa conjecture. (English) Zbl 07415205 Adv. Math. 392, Article ID 108043, 18 p. (2021). MSC: 11B30 PDFBibTeX XMLCite \textit{D. Zhelezov} and \textit{D. Pálvölgyi}, Adv. Math. 392, Article ID 108043, 18 p. (2021; Zbl 07415205) Full Text: DOI arXiv
Shparlinski, Igor E.; Wang, Qiang Exponential sums with sparse polynomials over finite fields. (English) Zbl 1469.11274 SIAM J. Discrete Math. 35, No. 2, 976-987 (2021). MSC: 11L07 11T23 PDFBibTeX XMLCite \textit{I. E. Shparlinski} and \textit{Q. Wang}, SIAM J. Discrete Math. 35, No. 2, 976--987 (2021; Zbl 1469.11274) Full Text: DOI arXiv
Xue, Boqing Asymmetric estimates and the sum-product problems. (English) Zbl 1476.11020 Acta Arith. 198, No. 3, 289-311 (2021). Reviewer: Oliver Roche-Newton (Linz) MSC: 11B30 11B13 11B75 05B10 PDFBibTeX XMLCite \textit{B. Xue}, Acta Arith. 198, No. 3, 289--311 (2021; Zbl 1476.11020) Full Text: DOI arXiv
Ol’mezov, K. I.; Semchenkov, A. S.; Shkredov, I. D. On popular sums and differences for sets with small multiplicative doubling. (English. Russian original) Zbl 1453.11020 Math. Notes 108, No. 4, 557-565 (2020); translation from Mat. Zametki 108, No. 4, 561-571 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11B75 11L07 11B13 11B50 PDFBibTeX XMLCite \textit{K. I. Ol'mezov} et al., Math. Notes 108, No. 4, 557--565 (2020; Zbl 1453.11020); translation from Mat. Zametki 108, No. 4, 561--571 (2020) Full Text: DOI
Di Benedetto, Daniel; Garaev, Moubariz Z.; Garcia, Victor C.; Gonzalez-Sanchez, Diego; Shparlinski, Igor E.; Trujillo, Carlos A. New estimates for exponential sums over multiplicative subgroups and intervals in prime fields. (English) Zbl 1467.11077 J. Number Theory 215, 261-274 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11L07 11T23 PDFBibTeX XMLCite \textit{D. Di Benedetto} et al., J. Number Theory 215, 261--274 (2020; Zbl 1467.11077) Full Text: DOI arXiv
Rudnev, M.; Shakan, G.; Shkredov, I. D. Stronger sum-product inequalities for small sets. (English) Zbl 1442.11029 Proc. Am. Math. Soc. 148, No. 4, 1467-1479 (2020). Reviewer: Oliver Roche-Newton (Linz) MSC: 11B30 52C10 11B75 PDFBibTeX XMLCite \textit{M. Rudnev} et al., Proc. Am. Math. Soc. 148, No. 4, 1467--1479 (2020; Zbl 1442.11029) Full Text: DOI arXiv
Mohammadi, Ali Improved bounds on Gauss sums in arbitrary finite fields. (English) Zbl 1454.11218 Int. J. Number Theory 15, No. 10, 2027-2041 (2019). MSC: 11T23 11B75 PDFBibTeX XMLCite \textit{A. Mohammadi}, Int. J. Number Theory 15, No. 10, 2027--2041 (2019; Zbl 1454.11218) Full Text: DOI arXiv
Shakan, George On higher energy decompositions and the sum-product phenomenon. (English) Zbl 1468.11036 Math. Proc. Camb. Philos. Soc. 167, No. 3, 599-617 (2019). MSC: 11B13 11B30 PDFBibTeX XMLCite \textit{G. Shakan}, Math. Proc. Camb. Philos. Soc. 167, No. 3, 599--617 (2019; Zbl 1468.11036) Full Text: DOI arXiv
Chen, Changhao; Kerr, Bryce; Mohammadi, Ali A new sum-product estimate in prime fields. (English) Zbl 1453.11018 Bull. Aust. Math. Soc. 100, No. 2, 268-280 (2019). MSC: 11B30 11T99 05B10 PDFBibTeX XMLCite \textit{C. Chen} et al., Bull. Aust. Math. Soc. 100, No. 2, 268--280 (2019; Zbl 1453.11018) Full Text: DOI arXiv
Shkredov, Ilya D.; Shparlinski, Igor E. Double character sums with intervals and arbitrary sets. (English, Russian) Zbl 1459.11166 Proc. Steklov Inst. Math. 303, 239-258 (2018); translation in Tr. Mat. Inst. Steklova 303, 258-278 (2018). Reviewer: Van Thang Pham (Rochester) MSC: 11L40 11B30 11L07 PDFBibTeX XMLCite \textit{I. D. Shkredov} and \textit{I. E. Shparlinski}, Proc. Steklov Inst. Math. 303, 239--258 (2018; Zbl 1459.11166); translation in Tr. Mat. Inst. Steklova 303, 258--278 (2018) Full Text: DOI arXiv
Garaev, M. Z. On distribution of elements of subgroups in arithmetic progressions modulo a prime. (English, Russian) Zbl 1448.11026 Proc. Steklov Inst. Math. 303, 50-57 (2018); translation in Tr. Mat. Inst. Steklova 303, 59-66 (2018). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B25 PDFBibTeX XMLCite \textit{M. Z. Garaev}, Proc. Steklov Inst. Math. 303, 50--57 (2018; Zbl 1448.11026); translation in Tr. Mat. Inst. Steklova 303, 59--66 (2018) Full Text: DOI
Shkredov, I. D. On asymptotic formulae in some sum-product questions. (English. Russian original) Zbl 1473.11034 Trans. Mosc. Math. Soc. 2018, 231-281 (2018); translation from Tr. Mosk. Mat. O.-va 79, No. 2, 271-334 (2018). MSC: 11B30 11B75 11Txx PDFBibTeX XMLCite \textit{I. D. Shkredov}, Trans. Mosc. Math. Soc. 2018, 231--281 (2018; Zbl 1473.11034); translation from Tr. Mosk. Mat. O.-va 79, No. 2, 271--334 (2018) Full Text: DOI arXiv