Rudnev Mikhail Konstantinovich

Publications in Math-Net.Ru

1. On distinct angles in the plane
   
   Discrete Comput. Geom., 2025,  1–34
2. Stronger sum-product inequalities for small sets
   
   Proc. Amer. Math. Soc., 148 (2020),  1467–1479
3. On the energy variant of the sum-product conjecture
   
   Rev. Mat. Iberoam., 36:1 (2020),  207–232
4. On the few products, many sums problem
   
   J. Théor. Nombres Bordx., 31:3 (2019),  573–602
5. New results on sum-product type growth over fields
   
   Mathematika, 65:3 (2019),  588–642
6. On the restriction problem for discrete paraboloid in lower dimension
   
   Adv. Math., 339 (2018),  657–671
7. On discrete values of bilinear forms
   
   Mat. Sb., 209:10 (2018),  71–88
8. Growth estimates in positive characteristic via collisions
   
   Int. Math. Res. Not. IMRN, 2017:23 (2017),  7148–7189
9. New sum-product type estimates over finite fields
   
   Adv. Math., 293 (2016),  589–605
10. On new sum-product estimates
    
    SIAM J. Discrete Math., 27:2 (2013),  973–990
11. A model for separatrix splitting near multiple resonances
    
    Regul. Chaotic Dyn., 11:1 (2006),  83–102
12. Sharp upper bounds for splitting of separatrices near a simple resonance
    
    Regul. Chaotic Dyn., 9:3 (2004),  299–336
13. On a Homoclinic Splitting Problem
    
    Regul. Chaotic Dyn., 5:2 (2000),  227–242
14. On a Partially Hyperbolic KAM Theorem
    
    Regul. Chaotic Dyn., 4:4 (1999),  39–58