Erdös distance problem in vector spaces over finite fields A Iosevich, M Rudnev
Transactions of the American Mathematical Society 359 (12), 6127-6142, 2007
242 2007 Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture D Hart, A Iosevich, D Koh, M Rudnev
Transactions of the American Mathematical Society 363 (6), 3255-3275, 2011
186 2011 On the number of incidences between points and planes in three dimensions M Rudnev
Combinatorica, 1-36, 2017
131 2017 New sum-product type estimates over finite fields O Roche-Newton, M Rudnev, ID Shkredov
Adv. Math. 293, 589–605, 2016
103 2016 Group actions and geometric combinatorics in M Bennett, D Hart, A Iosevich, J Pakianathan, M Rudnev
Forum Mathematicum 29 (1), 91-110, 2017
93 2017 New results on sum‐product type growth over fields B Murphy, G Petridis, O Roche‐Newton, M Rudnev, ID Shkredov
Mathematika 65 (3), 588-642, 2019
79 2019 An improved sum-product inequality in fields of prime order M Rudnev
Int Math Res Notices 16, 3693-3705, 2012
65 2012 Growth estimates in positive characteristic via collisions E Aksoy Yazici, B Murphy, M Rudnev, I Shkredov
International Mathematics Research Notices, 2016
61 * 2016 On the pinned distances problem in positive characteristic B Murphy, G Petridis, T Pham, M Rudnev, S Stevens
Journal of the London Mathematical Society 105 (1), 469-499, 2022
55 * 2022 On new sum-product--type estimates SV Konyagin, M Rudnev
SIAM Journal on Discrete Mathematics 27 (2), 973-990, 2013
55 2013 On the energy variant of the sum-product conjecture M Rudnev, ID Shkredov, S Stevens
Revista matemática iberoamericana 36 (1), 207-232, 2019
54 2019 An Explicit Incidence Theorem In 𝔽p HA Helfgott, M Rudnev
Mathematika 57 (1), 135-145, 2011
48 2011 KAM theory near multiplicity one resonant surfaces in perturbations of a-priori stable Hamiltonian systems M Rudnev, S Wiggins
Journal of Nonlinear Science 7, 177-209, 1997
47 1997 Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems M Rudnev, S Wiggins
Physica D: Nonlinear Phenomena 114 (1-2), 3-80, 1998
45 1998 On additive properties of product sets in an arbitrary finite field A Glibichuk, M Rudnev
Journal d'Analyse Mathématique 108 (1), 159-170, 2009
40 * 2009 On an application of Guth-Katz theorem A Iosevich, O Roche-Newton, M Rudnev
Math. Res. Letters 18 (4), 691-697, 2011
39 2011 Generalized incidence theorems, homogeneous forms and sum–product estimates in finite fields D Covert, D Hart, A Iosevich, D Koh, M Rudnev
European Journal of Combinatorics 31 (1), 306-319, 2010
39 2010 An update on the sum-product problem M Rudnev, S Stevens
Mathematical Proceedings of the Cambridge Philosophical Society 173 (2), 411-430, 2022
38 2022 Combinatorial complexity of convex sequences A Iosevich, S Konyagin, M Rudnev, V Ten
Discrete & Computational Geometry 35, 143-158, 2006
38 2006 On the few products, many sums problem B Murphy, M Rudnev, I Shkredov, Y Shteinikov
Journal de théorie des nombres de Bordeaux 31 (3), 573-602, 2019
36 2019