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Руднев Михаил Константинович

Публикации в базе данных Math-Net.Ru

  1. Stronger sum-product inequalities for small sets

    Proc. Amer. Math. Soc., 148 (2020),  1467–1479
  2. On the energy variant of the sum-product conjecture

    Rev. Mat. Iberoam., 36:1 (2020),  207–232
  3. On the few products, many sums problem

    J. Théor. Nombres Bordx., 31:3 (2019),  573–602
  4. New results on sum-product type growth over fields

    Mathematika, 65:3 (2019),  588–642
  5. On the restriction problem for discrete paraboloid in lower dimension

    Adv. Math., 339 (2018),  657–671
  6. О дискретных значениях билинейных форм

    Матем. сб., 209:10 (2018),  71–88
  7. Growth estimates in positive characteristic via collisions

    Int. Math. Res. Not. IMRN, 2017:23 (2017),  7148–7189
  8. New sum-product type estimates over finite fields

    Adv. Math., 293 (2016),  589–605
  9. On new sum-product estimates

    SIAM J. Discrete Math., 27:2 (2013),  973–990
  10. A model for separatrix splitting near multiple resonances

    Regul. Chaotic Dyn., 11:1 (2006),  83–102
  11. Sharp upper bounds for splitting of separatrices near a simple resonance

    Regul. Chaotic Dyn., 9:3 (2004),  299–336
  12. On a Homoclinic Splitting Problem

    Regul. Chaotic Dyn., 5:2 (2000),  227–242
  13. On a Partially Hyperbolic KAM Theorem

    Regul. Chaotic Dyn., 4:4 (1999),  39–58


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