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Shparlinski, Igor Evgen'evich
Statistics Math-Net.Ru
Total publications: 51
Scientific articles: 51
Presentations: 2

Number of views:
This page:3429
Abstract pages:13909
Full texts:4493
References:641
Professor
Candidate of physico-mathematical sciences
Birth date: 13.01.1956
E-mail:
Website: http://www.comp.mq.edu.au/~igor/

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

Publications in Math-Net.Ru Citations
2023
1. Sergei V. Konyagin, Min Sha, Igor E. Shparlinski, Cameron L. Stewart, “On the distribution of multiplicatively dependent vectors”, Math. Res. Lett., 30:2 (2023),  509–540  mathnet  mathscinet 1
2022
2. Ilya D. Shkredov, Igor E. Shparlinski, Alexandru Zaharescu, “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  mathnet  mathscinet  isi 5
2020
3. Maxim Korolev, Igor Shparlinski, “Sums of algebraic trace functions twisted by arithmetic functions”, Pacific J. Math., 304:2 (2020),  505–522  mathnet  mathscinet  zmath  isi  scopus 8
4. Sergei V. Konyagin, Sergey V. Makarychev, Igor E. Shparlinski, Ilya V. Vyugin, “On the structure of graphs of Markoff triples”, Q. J. Math., 72:2 (2020),  637–648  mathnet  mathscinet  isi  scopus 4
5. Simon Macourt, Giorgis Petridis, Ilya D. Shkredov, Igor E. Shparlinski, “Bounds of Trilinear and Trinomial Exponential Sums”, SIAM J. Discrete Math., 34:4 (2020),  2124–2136  mathnet  mathscinet  isi  scopus 2
2018
6. 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  mathscinet  isi  scopus 8
7. I. D. Shkredov, I. E. Shparlinski, “Double character sums with intervals and arbitrary sets”, Trudy Mat. Inst. Steklova, 303 (2018),  258–278  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 303 (2018), 239–258  isi  scopus 4
2017
8. Ilya D. Shkredov, Igor E. Shparlinski, “On some multiple character sums”, Mathematika, 53:2 (2017),  553–560  mathnet  mathscinet  isi  scopus 3
9. 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  isi 3
2016
10. 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 13
2015
11. 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 1
12. 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 12
13. 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 4
2014
14. 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 8
2013
15. Jean Bourgain, Moubariz Z. Garaev, Sergei V. Konyagin, Igor E. Shparlinski, “On congruences with products of variables from short intervals and applications”, Trudy Mat. Inst. Steklova, 280 (2013),  67–96  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 280 (2013), 61–90  isi  elib  scopus 32
2012
16. 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 1
17. 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
18. 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 37
2010
19. 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 12
1991
20. 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 13
21. 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 4
1990
22. 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
23. 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 4
24. 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 7
25. 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 13
26. I. E. Shparlinski, “Generalization of Chebyshev polynomials”, Sibirsk. Mat. Zh., 31:1 (1990),  217–218  mathnet  mathscinet  zmath; Siberian Math. J., 31:1 (1990), 183–185  isi 1
1989
27. 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 2
28. 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 13
29. 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 1
30. 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
31. 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 8
1988
32. I. E. Shparlinski, “On one sequence of pseudo-random numbers”, Avtomat. i Telemekh., 1988, no. 7,  185–188  mathnet
33. 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 1
34. 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 5
1987
35. 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 4
36. I. E. Shparlinski, “On Primitive Polynomials”, Probl. Peredachi Inf., 23:3 (1987),  100–103  mathnet  mathscinet  zmath 2
1986
37. 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
38. 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 3
39. 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 1
40. 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
41. 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
42. 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
43. 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
44. I. E. Shparlinskii, “On Some Features of Linear Cyclic Codes”, Probl. Peredachi Inf., 19:3 (1983),  106–110  mathnet  zmath
45. 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
46. 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
47. 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
48. I. E. Shparlinskii, “Prime divisors of recurrence sequences”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 4,  100–103  mathnet  mathscinet  zmath
1979
49. 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 2
50. 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 2
1978
51. 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 3

Presentations in Math-Net.Ru
1. Maximal Operators and Restriction Bounds for Weyl Sums
I. E. Shparlinski
Contemporary Problems in Number Theory
March 21, 2024 12:45   
2. Bilinear sums with Kloosterman and Salie sums
I. E. Shparlinski
Contemporary Problems in Number Theory
September 10, 2020 12:45   

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