Shparlinski Igor Evgen'evich

Publications in Math-Net.Ru

1. On the distribution of multiplicatively dependent vectors
   
   Math. Res. Lett., 30:2 (2023),  509–540
2. Bilinear forms with modular square roots and twisted second moments of half integral weight Dirichlet series
   
   Int. Math. Res. Not. IMRN, 2022:22 (2022),  17431–17474
3. Sums of algebraic trace functions twisted by arithmetic functions
   
   Pacific J. Math., 304:2 (2020),  505–522
4. On the structure of graphs of Markoff triples
   
   Q. J. Math., 72:2 (2020),  637–648
5. Bounds of Trilinear and Trinomial Exponential Sums
   
   SIAM J. Discrete Math., 34:4 (2020),  2124–2136
6. Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields
   
   Can. J. Math., 70:6 (2018),  1319–1338
7. Double character sums with intervals and arbitrary sets
   
   Trudy Mat. Inst. Steklova, 303 (2018),  258–278
8. On some multiple character sums
   
   Mathematika, 53:2 (2017),  553–560
9. On distances in lattices from algebraic number fields
   
   Mosc. Math. J., 17:2 (2017),  239–268
10. Functional graphs of polynomials over finite fields
    
    J. Comb. Theory, Ser. B, 116 (2016),  87–122
11. Counting additive decompositions of quadratic residues in finite fields
    
    Funct. Approx. Comment. Math., 52:2 (2015),  223–227
12. Character sums and deterministic polynomial root finding in finite fields
    
    Math. Comp., 84:296 (2015),  2969–2977
13. Quadratic non-residues in short intervals
    
    Proc. Amer. Math. Soc., 143:10 (2015),  4261–4269
14. Multiplicative congruences with variables from short intervals
    
    J. Analyse Math., 124:1 (2014),  117–143
15. On congruences with products of variables from short intervals and applications
    
    Trudy Mat. Inst. Steklova, 280 (2013),  67–96
16. Distribution of elements of cosets of small subgroups and applications
    
    Int. Math. Res. Not. IMRN, 2012:9 (2012),  1968–2009
17. On the consecutive powers of a primitive root: gaps and exponential sums
    
    Mathematika, 58:1 (2012),  11–20
18. On the hidden shifted power problem
    
    SIAM J. Comput., 41:6 (2012),  1524–1557
19. Character Sums over Shifted Primes
    
    Mat. Zametki, 88:4 (2010),  605–619
20. Estimates of Gaussian sums
    
    Mat. Zametki, 50:1 (1991),  122–130
21. On some problems in the theory of finite fields
    
    Uspekhi Mat. Nauk, 46:1(277) (1991),  165–200
22. An estimate for the incomplete sum of multiplicative characters of polynomials
    
    Diskr. Mat., 2:3 (1990),  115–119
23. Some arithmetic properties of recurrence sequences
    
    Mat. Zametki, 47:6 (1990),  124–131
24. The distribution of primitive roots in finite fields
    
    Uspekhi Mat. Nauk, 45:1(271) (1990),  185–186
25. On primitive elements in finite fields and on elliptic curves
    
    Mat. Sb., 181:9 (1990),  1196–1206
26. Generalization of Chebyshev polynomials
    
    Sibirsk. Mat. Zh., 31:1 (1990),  217–218
27. Distribution of primitive and irreducible polynomials modulo a prime
    
    Diskr. Mat., 1:1 (1989),  117–124
28. On Distribution of Values of Recurrence Sequences
    
    Probl. Peredachi Inf., 25:2 (1989),  46–53
29. he Dimension of BCH Codes
    
    Probl. Peredachi Inf., 25:1 (1989),  100–103
30. On arithmetical properties of solutions of norm equations
    
    Uspekhi Mat. Nauk, 44:3(267) (1989),  183–184
31. On the construction of a primitive normal basis in a finite field
    
    Mat. Sb., 180:8 (1989),  1067–1072
32. On one sequence of pseudo-random numbers
    
    Avtomat. i Telemekh., 1988, no. 7,  185–188
33. Residue classes modulo a prime number in a field of algebraic numbers
    
    Mat. Zametki, 43:4 (1988),  433–438
34. On polynomials of prescribed height in finite fields
    
    Mat. Sb. (N.S.), 135(177):2 (1988),  253–260
35. Number of different prime divisors of recurrence sequences
    
    Mat. Zametki, 42:4 (1987),  494–507
36. On Primitive Polynomials
    
    Probl. Peredachi Inf., 23:3 (1987),  100–103
37. On Weight Spectra of Some Codes
    
    Probl. Peredachi Inf., 22:2 (1986),  43–48
38. Coefficients of primitive polynomials
    
    Mat. Zametki, 38:6 (1985),  810–815
39. Number of prime divisors of recurrence sequences
    
    Mat. Zametki, 38:1 (1985),  29–34
40. A sequence of iteration parameters
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:1 (1985),  136–140
41. On the note of convergence of Newton's interpolation process and the power of certain codes
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  205–206
42. On a multiplicative generator of pseudorandom numbers
    
    Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1406–1408
43. The rate of convergence of some iteration processes
    
    Zh. Vychisl. Mat. Mat. Fiz., 24:3 (1984),  458–461
44. On Some Features of Linear Cyclic Codes
    
    Probl. Peredachi Inf., 19:3 (1983),  106–110
45. A property of a multiplicative random number generator
    
    Zh. Vychisl. Mat. Mat. Fiz., 23:1 (1983),  222–223
46. On an iterative process for the numerical solution of systems of linear algebraic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1504–1508
47. On the distribution of the fractional parts of recurrent sequences
    
    Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981),  1588–1591
48. Prime divisors of recurrence sequences
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 4,  100–103
49. The uniform distribution of fractional parts of recurrent sequences
    
    Uspekhi Mat. Nauk, 34:3(207) (1979),  203–204
50. On a completely uniform distribution
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1330–1333
51. Distribution of nonresidues and primitive roots in recurrent sequences
    
    Mat. Zametki, 24:5 (1978),  603–613