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Publications in Math-Net.Ru |
Citations |
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2020 |
| 1. |
M. Rudnev, G. Shakan, I. D. Shkredov, “Stronger sum-product inequalities for small sets”, Proc. Amer. Math. Soc., 148 (2020), 1467–1479     |
8
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| 2. |
Misha Rudnev, Ilya D. Shkredov, Sophie Stevens, “On the energy variant of the sum-product conjecture”, Rev. Mat. Iberoam., 36:1 (2020), 207–232 |
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2019 |
| 3. |
B. Murphy, M. Rudnev, I. D. Shkredov, Yu. N. Shteinikov, “On the few products, many sums problem”, J. Théor. Nombres Bordx., 31:3 (2019), 573–602 |
| 4. |
Brendan Murphy, Giorgis Petridis, Oliver Roche-Newton, Misha Rudnev, Ilya D. Shkredov, “New results on sum-product type growth over fields”, Mathematika, 65:3 (2019), 588–642 |
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2018 |
| 5. |
Misha Rudnev, Ilya D. Shkredov, “On the restriction problem for discrete paraboloid in lower dimension”, Adv. Math., 339 (2018), 657–671 |
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| 6. |
A. Iosevich, O. Roche-Newton, M. Rudnev, “On discrete values of bilinear forms”, Mat. Sb., 209:10 (2018), 71–88   ; Sb. Math., 209:10 (2018), 1482–1497 |
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2017 |
| 7. |
Esen Aksoy Yazici, Brendan Murphy, Misha Rudnev, Ilya Shkredov, “Growth estimates in positive characteristic via collisions”, Int. Math. Res. Not. IMRN, 2017:23 (2017), 7148–7189 |
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2016 |
| 8. |
Oliver Roche-Newton, Misha Rudnev, Ilya D. Shkredov, “New sum-product type estimates over finite fields”, Adv. Math., 293 (2016), 589–605 |
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2013 |
| 9. |
S. Konyagin, M. Rudnev, “On new sum-product estimates”, SIAM J. Discrete Math., 27:2 (2013), 973–990 |
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2006 |
| 10. |
M. Rudnev, V. Ten, “A model for separatrix splitting near multiple resonances”, Regul. Chaotic Dyn., 11:1 (2006), 83–102 |
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2004 |
| 11. |
M. Rudnev, V. Ten, “Sharp upper bounds for splitting of separatrices near a simple resonance”, Regul. Chaotic Dyn., 9:3 (2004), 299–336 |
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2000 |
| 12. |
M. Rudnev, S. Wiggins, “On a Homoclinic Splitting Problem”, Regul. Chaotic Dyn., 5:2 (2000), 227–242 |
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1999 |
| 13. |
M. Rudnev, S. Wiggins, “On a Partially Hyperbolic KAM Theorem”, Regul. Chaotic Dyn., 4:4 (1999), 39–58 |
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