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 On incidences of lines in regular complexes. (English) Zbl 1471.52014 Eur. J. Comb. 98, Article ID 103400, 9 p. (2021). MSC: 52C10 51E30 PDFBibTeX XMLCite \textit{M. Rudnev}, Eur. J. Comb. 98, Article ID 103400, 9 p. (2021; Zbl 1471.52014) Full Text: DOI arXiv
Rudnev, Misha; Shkredov, Ilya D.; Stevens, Sophie On the energy variant of the sum-product conjecture. (English) Zbl 1477.11021 Rev. Mat. Iberoam. 36, No. 1, 207-232 (2020). MSC: 11B30 11B75 52C10 PDFBibTeX XMLCite \textit{M. Rudnev} et al., Rev. Mat. Iberoam. 36, No. 1, 207--232 (2020; Zbl 1477.11021) 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
Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri On the few products, many sums problem. (English. French summary) Zbl 1454.11025 J. Théor. Nombres Bordx. 31, No. 3, 573-602 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11B50 11B75 PDFBibTeX XMLCite \textit{B. Murphy} et al., J. Théor. Nombres Bordx. 31, No. 3, 573--602 (2019; Zbl 1454.11025) Full Text: DOI arXiv
Murphy, Brendan; Petridis, Giorgis; Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D. New results on sum-product type growth over fields. (English) Zbl 1429.11027 Mathematika 65, No. 3, 588-642 (2019). MSC: 11B30 PDFBibTeX XMLCite \textit{B. Murphy} et al., Mathematika 65, No. 3, 588--642 (2019; Zbl 1429.11027) Full Text: DOI arXiv
Iosevich, A.; Roche-Newton, O.; Rudnev, M. On discrete values of bilinear forms. (English. Russian original) Zbl 1406.52034 Sb. Math. 209, No. 10, 1482-1497 (2018); translation from Mat. Sb. 209, No. 10, 71-88 (2018). MSC: 52C10 11B75 PDFBibTeX XMLCite \textit{A. Iosevich} et al., Sb. Math. 209, No. 10, 1482--1497 (2018; Zbl 1406.52034); translation from Mat. Sb. 209, No. 10, 71--88 (2018) Full Text: DOI arXiv
Rudnev, Misha; Shkredov, Ilya D. On the restriction problem for discrete paraboloid in lower dimension. (English) Zbl 1443.11009 Adv. Math. 339, 657-671 (2018). MSC: 11B30 11T30 52C10 PDFBibTeX XMLCite \textit{M. Rudnev} and \textit{I. D. Shkredov}, Adv. Math. 339, 657--671 (2018; Zbl 1443.11009) Full Text: DOI arXiv
Rudnev, Misha On the number of incidences between points and planes in three dimensions. (English) Zbl 1413.51001 Combinatorica 38, No. 1, 219-254 (2018). MSC: 51A45 52C10 PDFBibTeX XMLCite \textit{M. Rudnev}, Combinatorica 38, No. 1, 219--254 (2018; Zbl 1413.51001) Full Text: DOI arXiv
Bennett, Michael; Hart, Derrick; Iosevich, Alex; Pakianathan, Jonathan; Rudnev, Misha Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\). (English) Zbl 1429.52020 Forum Math. 29, No. 1, 91-110 (2017). MSC: 52C10 42B10 11B30 PDFBibTeX XMLCite \textit{M. Bennett} et al., Forum Math. 29, No. 1, 91--110 (2017; Zbl 1429.52020) Full Text: DOI arXiv
Cilleruelo, Javier; Iosevich, Alex; Lund, Ben; Roche-Newton, Oliver; Rudnev, Misha Elementary methods for incidence problems in finite fields. (English) Zbl 1366.52018 Acta Arith. 177, No. 2, 133-142 (2017). Reviewer: Steven T. Dougherty (Scranton) MSC: 52C10 51E30 05B30 PDFBibTeX XMLCite \textit{J. Cilleruelo} et al., Acta Arith. 177, No. 2, 133--142 (2017; Zbl 1366.52018) Full Text: DOI arXiv
Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D. New sum-product type estimates over finite fields. (English) Zbl 1412.11018 Adv. Math. 293, 589-605 (2016). MSC: 11B30 11T99 PDFBibTeX XMLCite \textit{O. Roche-Newton} et al., Adv. Math. 293, 589--605 (2016; Zbl 1412.11018) Full Text: DOI arXiv
Iosevich, Alex; Rudnev, Misha; Zhai, Yujia Areas of triangles and Beck’s theorem in planes over finite fields. (English) Zbl 1363.52015 Combinatorica 35, No. 3, 295-308 (2015). Reviewer: Charles J. Colbourn (Tempe) MSC: 52C10 11B75 PDFBibTeX XMLCite \textit{A. Iosevich} et al., Combinatorica 35, No. 3, 295--308 (2015; Zbl 1363.52015) Full Text: DOI arXiv
Gill, Nick; Helfgott, Harald A.; Rudnev, Misha On growth in an abstract plane. (English) Zbl 1335.51003 Proc. Am. Math. Soc. 143, No. 8, 3593-3602 (2015). Reviewer: Vito Napolitano (Napoli) MSC: 51A35 05B25 PDFBibTeX XMLCite \textit{N. Gill} et al., Proc. Am. Math. Soc. 143, No. 8, 3593--3602 (2015; Zbl 1335.51003) Full Text: DOI arXiv Link
Hart, Derrick; Iosevich, Alex; Koh, Doowon; Rudnev, Misha Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture. (English) Zbl 1244.11013 Trans. Am. Math. Soc. 363, No. 6, 3255-3275 (2011). MSC: 11B30 42B05 11T23 52C10 PDFBibTeX XMLCite \textit{D. Hart} et al., Trans. Am. Math. Soc. 363, No. 6, 3255--3275 (2011; Zbl 1244.11013) Full Text: DOI arXiv
Helfgott, Harald Andrés; Rudnev, Misha An explicit incidence theorem in \(\mathbb F_p\). (English) Zbl 1264.11016 Mathematika 57, No. 1, 135-145 (2011). MSC: 11B75 11B30 PDFBibTeX XMLCite \textit{H. A. Helfgott} and \textit{M. Rudnev}, Mathematika 57, No. 1, 135--145 (2011; Zbl 1264.11016) Full Text: DOI arXiv
Covert, David; Hart, Derrick; Iosevich, Alex; Koh, Doowon; Rudnev, Misha Generalized incidence theorems, homogeneous forms and sum-product estimates in finite fields. (English) Zbl 1243.11009 Eur. J. Comb. 31, No. 1, 306-319 (2010). MSC: 11B30 05E15 11T23 PDFBibTeX XMLCite \textit{D. Covert} et al., Eur. J. Comb. 31, No. 1, 306--319 (2010; Zbl 1243.11009) Full Text: DOI arXiv
Glibichuk, Alexey; Rudnev, Misha On additive properties of product sets in an arbitrary finite field. (English) Zbl 1241.11011 J. Anal. Math. 108, 159-170 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 11B30 11T99 PDFBibTeX XMLCite \textit{A. Glibichuk} and \textit{M. Rudnev}, J. Anal. Math. 108, 159--170 (2009; Zbl 1241.11011) Full Text: DOI arXiv
Iosevich, A.; Rudnev, M. Erdös distance problem in vector spaces over finite fields. (English) Zbl 1145.11083 Trans. Am. Math. Soc. 359, No. 12, 6127-6142 (2007). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11T24 52C10 PDFBibTeX XMLCite \textit{A. Iosevich} and \textit{M. Rudnev}, Trans. Am. Math. Soc. 359, No. 12, 6127--6142 (2007; Zbl 1145.11083) Full Text: DOI arXiv