RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Shparlinski, Igor Evgen'evich

Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 35

Number of views:
This page:1200
Abstract pages:7836
Full texts:2320
References:363
Professor
Candidate of physico-mathematical sciences
Birth date: 13.01.1956
E-mail:
Website: http://www.comp.mq.edu.au/~igor/

http://www.mathnet.ru/eng/person18788
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:shparlinski.igor-e
https://mathscinet.ams.org/mathscinet/MRAuthorID/192194

Publications in Math-Net.Ru
2018
1. Simon Macourt, Ilya D. Shkredov, Igor E. Shparlinski, “Multiplicative energy of shifted subgroups and bounds on exponential sums with trinomials in finite fields”, Can. J. Math., 70:6 (2018),  1319–1338  mathnet  isi  scopus
2. I. D. Shkredov, I. E. Shparlinski, “Double character sums with intervals and arbitrary sets”, Tr. Mat. Inst. Steklova, 303 (2018),  258–278  mathnet  elib; Proc. Steklov Inst. Math., 303 (2018), 239–258  isi  scopus
2017
3. Ilya D. Shkredov, Igor E. Shparlinski, “On some multiple character sums”, Mathematika, 53:2 (2017),  553–560  mathnet  isi  scopus
4. Artūras Dubickas, Min Sha, Igor E. Shparlinski, “On distances in lattices from algebraic number fields”, Mosc. Math. J., 17:2 (2017),  239–268  mathnet  mathscinet
2016
5. Sergei V. Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E. Shparlinski, “Functional graphs of polynomials over finite fields”, J. Comb. Theory, Ser. B, 116 (2016),  87–122  mathnet  mathscinet  zmath  isi  elib  scopus
2015
6. S. R. Blackburn, S. V. Konyagin, I. E. Shparlinski, “Counting additive decompositions of quadratic residues in finite fields”, Funct. Approx. Comment. Math., 52:2 (2015),  223–227  mathnet  mathscinet  elib  scopus
7. J. Bourgain, S. V. Konyagin, I. E. Shparlinski, “Character sums and deterministic polynomial root finding in finite fields”, Math. Comp., 84:296 (2015),  2969–2977  mathnet  mathscinet  zmath  isi  scopus
8. S. V. Konyagin, I. E. Shparlinski, “Quadratic non-residues in short intervals”, Proc. Amer. Math. Soc., 143:10 (2015),  4261–4269  mathnet  mathscinet  zmath  isi  elib
2014
9. J. Bourgain, M. Z. Garaev, S. V. Konyagin, I. E. Shparlinski, “Multiplicative congruences with variables from short intervals”, J. Analyse Math., 124:1 (2014),  117–143  mathnet  mathscinet  zmath  isi  scopus
2013
10. Jean Bourgain, Moubariz Z. Garaev, Sergei V. Konyagin, Igor E. Shparlinski, “On congruences with products of variables from short intervals and applications”, Tr. Mat. Inst. Steklova, 280 (2013),  67–96  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 280 (2013), 61–90  isi  elib  scopus
2012
11. J. Bourgain, S. V. Konyagin, I. E. Shparlinski, “Distribution of elements of cosets of small subgroups and applications”, Int. Math. Res. Not. IMRN, 2012:9 (2012),  1968–2009  mathnet  mathscinet  zmath  isi  scopus
12. S. V. Konyagin, I. E. Shparlinski, “On the consecutive powers of a primitive root: gaps and exponential sums”, Mathematika, 58:1 (2012),  11–20  mathnet  mathscinet  zmath  isi  scopus
13. J. Bourgain, M. Z. Garaev, S. V. Konyagin, I. E. Shparlinski, “On the hidden shifted power problem”, SIAM J. Comput., 41:6 (2012),  1524–1557  mathnet  mathscinet  zmath  isi  scopus
2010
14. J. B. Friedlander, K. Gong, I. E. Shparlinski, “Character Sums over Shifted Primes”, Mat. Zametki, 88:4 (2010),  605–619  mathnet  mathscinet; Math. Notes, 88:4 (2010), 585–598  isi  scopus
1991
15. I. E. Shparlinskii, “Estimates of Gaussian sums”, Mat. Zametki, 50:1 (1991),  122–130  mathnet  mathscinet  zmath; Math. Notes, 50:1 (1991), 740–746  isi
16. I. E. Shparlinski, “On some problems in the theory of finite fields”, Uspekhi Mat. Nauk, 46:1(277) (1991),  165–200  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:1 (1991), 199–240
1990
17. S. A. Stepanov, I. E. Shparlinski, “An estimate for the incomplete sum of multiplicative characters of polynomials”, Diskr. Mat., 2:3 (1990),  115–119  mathnet  mathscinet  zmath; Discrete Math. Appl., 2:2 (1992), 169–174
18. I. E. Shparlinski, “Some arithmetic properties of recurrence sequences”, Mat. Zametki, 47:6 (1990),  124–131  mathnet  mathscinet  zmath; Math. Notes, 47:6 (1990), 612–617  isi
19. G. I. Perel'muter, I. E. Shparlinski, “The distribution of primitive roots in finite fields”, Uspekhi Mat. Nauk, 45:1(271) (1990),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:1 (1990), 223–224  isi
20. I. E. Shparlinski, “On primitive elements in finite fields and on elliptic curves”, Mat. Sb., 181:9 (1990),  1196–1206  mathnet  mathscinet  zmath; Math. USSR-Sb., 71:1 (1992), 41–50  isi
1989
21. I. E. Shparlinski, “Distribution of primitive and irreducible polynomials modulo a prime”, Diskr. Mat., 1:1 (1989),  117–124  mathnet  mathscinet  zmath; Discrete Math. Appl., 1:1 (1991), 59–67
22. I. E. Shparlinski, “On Distribution of Values of Recurrence Sequences”, Probl. Peredachi Inf., 25:2 (1989),  46–53  mathnet  mathscinet  zmath; Problems Inform. Transmission, 25:2 (1989), 120–125
23. I. E. Shparlinski, “he Dimension of BCH Codes”, Probl. Peredachi Inf., 25:1 (1989),  100–103  mathnet  mathscinet  zmath; Problems Inform. Transmission, 25:1 (1989), 77–80
24. I. E. Shparlinski, “On arithmetical properties of solutions of norm equations”, Uspekhi Mat. Nauk, 44:3(267) (1989),  183–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:3 (1989), 216–217  isi
25. S. A. Stepanov, I. E. Shparlinski, “On the construction of a primitive normal basis in a finite field”, Mat. Sb., 180:8 (1989),  1067–1072  mathnet  mathscinet  zmath; Math. USSR-Sb., 67:2 (1990), 527–533  isi
1988
26. I. E. Shparlinski, “On one sequence of pseudo-random numbers”, Avtomat. i Telemekh., 1988, 7,  185–188  mathnet
27. I. E. Shparlinski, “Residue classes modulo a prime number in a field of algebraic numbers”, Mat. Zametki, 43:4 (1988),  433–438  mathnet  mathscinet  zmath; Math. Notes, 43:4 (1988), 249–252  isi
28. I. E. Shparlinski, “On polynomials of prescribed height in finite fields”, Mat. Sb. (N.S.), 135(177):2 (1988),  253–260  mathnet  mathscinet  zmath; Math. USSR-Sb., 63:1 (1989), 247–255
1987
29. I. E. Shparlinski, “Number of different prime divisors of recurrence sequences”, Mat. Zametki, 42:4 (1987),  494–507  mathnet  mathscinet  zmath; Math. Notes, 42:4 (1987), 773–780  isi
30. I. E. Shparlinski, “On Primitive Polynomials”, Probl. Peredachi Inf., 23:3 (1987),  100–103  mathnet  mathscinet  zmath
1986
31. I. E. Shparlinski, “On Weight Spectra of Some Codes”, Probl. Peredachi Inf., 22:2 (1986),  43–48  mathnet  mathscinet  zmath; Problems Inform. Transmission, 22:2 (1986), 111–116
1985
32. I. E. Shparlinski, “Coefficients of primitive polynomials”, Mat. Zametki, 38:6 (1985),  810–815  mathnet  mathscinet  zmath; Math. Notes, 38:6 (1985), 951–954  isi
33. I. E. Shparlinski, “Number of prime divisors of recurrence sequences”, Mat. Zametki, 38:1 (1985),  29–34  mathnet  mathscinet  zmath; Math. Notes, 38:1 (1985), 529–532  isi
34. L. L. Kosachevskaya, V. V. Romanovtsev, I. E. Shparlinski, “A sequence of iteration parameters”, Zh. Vychisl. Mat. Mat. Fiz., 25:1 (1985),  136–140  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:1 (1985), 89–93
1984
35. I. E. Shparlinski, “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  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:2 (1984), 199–200  isi
36. I. E. Shparlinski, “On a multiplicative generator of pseudorandom numbers”, Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1406–1408  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:5 (1984), 79–81
37. L. L. Kosachevskaya, I. E. Shparlinski, “The rate of convergence of some iteration processes”, Zh. Vychisl. Mat. Mat. Fiz., 24:3 (1984),  458–461  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:2 (1984), 81–84
1983
38. I. E. Shparlinskii, “On Some Features of Linear Cyclic Codes”, Probl. Peredachi Inf., 19:3 (1983),  106–110  mathnet  zmath
39. I. E. Shparlinski, “A property of a multiplicative random number generator”, Zh. Vychisl. Mat. Mat. Fiz., 23:1 (1983),  222–223  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 23:1 (1983), 158–159
1982
40. L. L. Kosachevskaya, V. V. Romanovtsev, I. E. Shparlinski, “On an iterative process for the numerical solution of systems of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1504–1508  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:6 (1982), 232–237
1981
41. I. E. Shparlinskii, “On the distribution of the fractional parts of recurrent sequences”, Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981),  1588–1591  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:6 (1981), 231–235
1980
42. I. E. Shparlinskii, “Prime divisors of recurrence sequences”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, 4,  100–103  mathnet  mathscinet  zmath
1979
43. M. B. Levin, I. E. Shparlinskii, “The uniform distribution of fractional parts of recurrent sequences”, Uspekhi Mat. Nauk, 34:3(207) (1979),  203–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:3 (1979), 207–208
44. I. E. Shparlinski, “On a completely uniform distribution”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1330–1333  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 249–253
1978
45. I. E. Shparlinski, “Distribution of nonresidues and primitive roots in recurrent sequences”, Mat. Zametki, 24:5 (1978),  603–613  mathnet  mathscinet  zmath; Math. Notes, 24:5 (1978), 823–828

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019