Stepanov Sergei Aleksandrovich

Publications in Math-Net.Ru

1. Nonlinear $q$-ary codes with large code distance
   
   Probl. Peredachi Inf., 53:3 (2017),  44–53
2. On the discrete logarithm problem
   
   Diskr. Mat., 26:1 (2014),  133–142
3. On the structure of Artin $L$-functions
   
   Izv. RAN. Ser. Mat., 78:1 (2014),  167–180
4. Nonlinear codes from modified Butson–Hadamard matrices
   
   Diskr. Mat., 18:4 (2006),  137–147
5. A New Class of Nonlinear $Q$-ary Codes
   
   Probl. Peredachi Inf., 42:3 (2006),  45–58
6. A New Class of Nonlinear Senary Codes
   
   Probl. Peredachi Inf., 42:2 (2006),  53–62
7. A New Class of Quaternary Codes
   
   Probl. Peredachi Inf., 42:1 (2006),  3–12
8. Method of orbit sums in the theory of modular vector invariants
   
   Mat. Sb., 197:11 (2006),  79–114
9. A new class of nonlinear quinary codes
   
   Diskr. Mat., 17:4 (2005),  7–17
10. Codes on fibre products of Artin–Schreier curves
    
    Diskr. Mat., 13:2 (2001),  3–13
11. Vector invariants of symmetric groups in the case of a field of prime characteristic
    
    Diskr. Mat., 12:4 (2000),  25–38
12. Polynomial invariants of finite groups over fields of prime characteristic
    
    Diskr. Mat., 11:3 (1999),  3–14
13. Stratified products of hyperelliptic curves, and geometric Goppa codes
    
    Diskr. Mat., 9:3 (1997),  36–42
14. Codes on fiber products of hyperelliptic curves
    
    Diskr. Mat., 9:1 (1997),  83–94
15. On vector invariants of the symmetric group
    
    Diskr. Mat., 8:2 (1996),  48–62
16. On lower bounds for character sums over finite fields
    
    Trudy Mat. Inst. Steklov., 207 (1994),  297–298
17. Lower bounds on character sums over finite fields
    
    Diskr. Mat., 3:2 (1991),  77–86
18. An estimate for the incomplete sum of multiplicative characters of polynomials
    
    Diskr. Mat., 2:3 (1990),  115–119
19. On the construction of a primitive normal basis in a finite field
    
    Mat. Sb., 180:8 (1989),  1067–1072
20. The number of irreducible polynomials of a given form over a finite field
    
    Mat. Zametki, 41:3 (1987),  289–295
21. Estimation of rational trigonometric sums on “algebraic varieties”
    
    Dokl. Akad. Nauk SSSR, 286:2 (1986),  298–301
22. Rational trigonometric sums on “algebraic varieties”
    
    Mat. Zametki, 39:2 (1986),  161–174
23. On the number of irreducible polynomials in $F_q[x]$ of special form
    
    Uspekhi Mat. Nauk, 40:4(244) (1985),  199–200
24. Estimation of rational trigonometric sums along a curve
    
    Dokl. Akad. Nauk SSSR, 277:5 (1984),  1077–1082
25. Diophantine equations
    
    Trudy Mat. Inst. Steklov., 168 (1984),  31–45
26. Rational trigonometric sums along a curve
    
    Zap. Nauchn. Sem. LOMI, 134 (1984),  232–251
27. Rational trigonometric sums and Artin $L$-functions
    
    Dokl. Akad. Nauk SSSR, 265:1 (1982),  39–42
28. Diophantine equations over function fields
    
    Mat. Zametki, 32:6 (1982),  753–764
29. Proof of the davenport-hasse relations
    
    Mat. Zametki, 27:1 (1980),  3–6
30. Diophantine equations over function fields
    
    Mat. Sb. (N.S.), 112(154):1(5) (1980),  86–93
31. An elementary method in algebraic number theory
    
    Mat. Zametki, 24:3 (1978),  425–431
32. Equations over finite fields
    
    Mat. Zametki, 21:2 (1977),  271–279
33. Lower bounds for incomplete sums of the characters of polynomials
    
    Trudy Mat. Inst. Steklov., 143 (1977),  175–177
34. On the theory of Jacobsthal sums
    
    Trudy Mat. Inst. Steklov., 142 (1976),  208–214
35. Constructive method in the theory of equations over finite fields
    
    Trudy Mat. Inst. Steklov., 132 (1973),  237–246
36. Congruences in two unknowns
    
    Izv. Akad. Nauk SSSR Ser. Mat., 36:4 (1972),  683–711
37. An estimation of Kloosterman sums
    
    Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971),  308–323
38. The estimation of rational trigonometric sums with prime denominator
    
    Trudy Mat. Inst. Steklov., 112 (1971),  346–371
39. Estimation of Weyl sums with prime denominator
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970),  1015–1037
40. Congruences modulo a power of a prime
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 1,  80–90
41. Congruences modula a power of a prime number
    
    Dokl. Akad. Nauk SSSR, 186:1 (1969),  43–46
42. On the number of points of a hyperelliptic curve over a finite prime field
    
    Izv. Akad. Nauk SSSR Ser. Mat., 33:5 (1969),  1171–1181
43. The approximation of an algebraic number by algebraic numbers of a special form
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1967, no. 6,  78–86


44. Валентин Федорович Колчин (1934–2016)
    
    Diskr. Mat., 28:4 (2016),  3–5
45. Letter to the editors
    
    Diskr. Mat., 13:4 (2001),  157
46. Valentin Evgen'evich Voskresenskii (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 52:6(318) (1997),  201–202
47. All-Union School-Seminar on number theory
    
    Uspekhi Mat. Nauk, 33:2(200) (1978),  234–236
48. Remark on my article “Estimation of Weyl sums with prime denominator”
    
    Izv. Akad. Nauk SSSR Ser. Mat., 35:4 (1971),  965–966