By Professor Igor Shparlinski

Journal articles

Von Zur Gathen J; Shparlinski I, 1999, 'Computing components and projections of curves over finite fields', SIAM Journal on Computing, 28, pp. 822 - 840, http://dx.doi.org/10.1137/s009753979427741x

Everest GR; Shparlinski IE, 1999, 'Counting the values taken by algebraic exponential polynomials', Proceedings of the American Mathematical Society, 127, pp. 665 - 675, http://dx.doi.org/10.1090/s0002-9939-99-04728-0

Canetti R; Friedlander J; Shparlinski I, 1999, 'On certain exponential sums and the distribution of Diffie-Hellman triples', Journal of the London Mathematical Society, 59, pp. 799 - 812, http://dx.doi.org/10.1112/S002461079900736X

Friedlander J; Larsen M; Lieman D; Shparlinski I, 1999, 'On the Correlation of Binary M-sequences', Designs, Codes, and Cryptography, 16, pp. 249 - 256, http://dx.doi.org/10.1023/A:1008383811226

Niederreiter H; Shparlinski IE, 1999, 'On the distribution and lattice structure of nonlinear congruential pseudorandom numbers', Finite Fields and their Applications, 5, pp. 246 - 253, http://dx.doi.org/10.1006/ffta.1999.0257

Von Zur Gathen J; Shparlinski I, 1998, 'Orders of Gauss periods in finite fields', Applicable Algebra in Engineering, Communications and Computing, 9, pp. 15 - 24, http://dx.doi.org/10.1007/s002000050093

Shparlinski IE, 1996, 'On irreducible polynomials of small height over finite fields', APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 7, pp. 427 - 431, http://dx.doi.org/10.1007/BF01293260

Shparlinski I, 1996, 'On finding primitive roots in finite fields', Theoretical Computer Science, 157, pp. 273 - 275, http://dx.doi.org/10.1016/0304-3975(95)00164-6

Karpinski M; Shparlinski I, 1996, 'On some approximation problems concerning sparse polynomials over finite fields', Theoretical Computer Science, 157, pp. 259 - 266, http://dx.doi.org/10.1016/0304-3975(95)00162-X

Von Zur Gathen J; Karpinski M; Shparlinski I, 1996, 'Counting curves and their projections', Computational Complexity, 6, pp. 64 - 99, http://dx.doi.org/10.1007/BF01202042

Everest GR; Shparlinski IE, 1996, 'Divisor sums of generalised exponential polynomials', Canadian Mathematical Bulletin, 39, pp. 35 - 46, http://dx.doi.org/10.4153/CMB-1996-005-5

Shparlinski I, 1996, 'On exponential sums with sparse polynomials and rational functions', Journal of Number Theory, 60, pp. 233 - 244, http://dx.doi.org/10.1006/jnth.1996.0121

Shparlinski IE, 1996, 'On irreducible polynomials of small height over finite fields', Applicable Algebra in Engineering, Communications and Computing, 7, pp. 427 - 431, http://dx.doi.org/10.1007/BF01293260

Van Der Poorten AJ; Shparlinski IE, 1996, 'On linear recurrence sequences with polynomial coefficients', Glasgow Mathematical Journal, 38, pp. 147 - 155, http://dx.doi.org/10.1017/s0017089500031372

Pappalardi F; Shparlinski I, 1995, 'On artin′s conjecture over function fields', Finite Fields and Their Applications, 1, pp. 399 - 404, http://dx.doi.org/10.1006/ffta.1995.1030

Shparlinski IE, 1993, 'Finding irreducible and primitive polynomials', Applicable Algebra in Engineering, Communication and Computing, 4, pp. 263 - 268, http://dx.doi.org/10.1007/BF01200150

Shparlinski IE, 1993, 'On bivariate polynomial factorization over finite fields', Mathematics of Computation, 60, pp. 787 - 791, http://dx.doi.org/10.1090/S0025-5718-1993-1176716-3

Shparlinski IE, 1993, 'On parameters of some graphs from finite fields', European Journal of Combinatorics, 14, pp. 589 - 591, http://dx.doi.org/10.1006/eujc.1993.1061

MULLEN GL; SHPARLINSKI I, 1993, 'VALUES OF LINEAR RECURRING SEQUENCES OF VECTORS OVER FINITE-FIELDS', ACTA ARITHMETICA, 65, pp. 221 - 226, http://dx.doi.org/10.4064/aa-65-3-221-226

Galiev VI; Polupanov AF; Shparlinski IE, 1992, 'Distances from differences of roots of polynomials to the nearest integers', Information Processing Letters, 43, pp. 143 - 146, http://dx.doi.org/10.1016/0020-0190(92)90006-H

Shparlinski IE, 1992, 'A deterministic test for permutation polynomials', Computational Complexity, 2, pp. 129 - 132, http://dx.doi.org/10.1007/BF01202000

Galiev VI; Polupanov AF; Shparlinski IE, 1992, 'On the construction of solutions of systems of linear ordinary differential equations in the neighbourhood of a regular singularity', Journal of Computational and Applied Mathematics, 39, pp. 151 - 163, http://dx.doi.org/10.1016/0377-0427(92)90126-I

Shparlinskiĭ IE, 1992, 'On primitive elements in finite fields and on elliptic curves', Mathematics of the USSR - Sbornik, 71, pp. 41 - 50, http://dx.doi.org/10.1070/SM1992v071n01ABEH001389

Stepanov SA; Shparlinskii IE, 1992, 'An estimate of incomplete multiplicative character sum of polynomials', Discrete Mathematics and Applications, 2, pp. 169 - 174, http://dx.doi.org/10.1515/dma.1992.2.2.169

SHPARLINSKI IE; TSFASMAN MA; VLADUT SG, 1992, 'CURVES WITH MANY POINTS AND MULTIPLICATION IN FINITE-FIELDS', LECTURE NOTES IN MATHEMATICS, 1518, pp. 145 - 169, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992KR02000014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

SHPARLINSKI IE, 1992, 'ON GAUSSIAN SUMS FOR FINITE-FIELDS AND ELLIPTIC-CURVES', LECTURE NOTES IN COMPUTER SCIENCE, 573, pp. 5 - 15, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992KQ18400003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Van Der Poorten AJ; Shparlinski IE, 1992, 'On the number of zeros of exponential polynomials and related questions', Bulletin of the Australian Mathematical Society, 46, pp. 401 - 412, http://dx.doi.org/10.1017/S0004972700012065

Shparlinskii IE, 1991, 'Estimates of Gaussian sums', Mathematical Notes of the Academy of Sciences of the USSR, 50, pp. 740 - 746, http://dx.doi.org/10.1007/BF01156612

Shparlinskiy IE, 1991, 'On the Distribution of Values of Recurring Sequences and the Bell Numbers in Finite Fields', European Journal of Combinatorics, 12, pp. 81 - 87, http://dx.doi.org/10.1016/S0195-6698(13)80010-8

Shparlinskii IE, 1990, 'Some arithmetic properties of recurrence sequences', Mathematical Notes of the Academy of Sciences of the USSR, 47, pp. 612 - 617, http://dx.doi.org/10.1007/BF01170895

Stepanov SA; Shparlinskii IE, 1990, 'On the construction of a primitive normal basis in a finite field', Mathematics of the USSR - Sbornik, 67, pp. 527 - 533, http://dx.doi.org/10.1070/SM1990v067n02ABEH001369

Perel'muter GI; Shparlinskii IE, 1990, 'The distribution of primitive roots in finite fields', Russian Mathematical Surveys, 45, pp. 223 - 224, http://dx.doi.org/10.1070/RM1990v045n01ABEH002330

Shparlinskiĭ IE; Skorobogatov AN, 1990, 'Exponential sums and rational points on complete intersections', Mathematika, 37, pp. 201 - 208, http://dx.doi.org/10.1112/S0025579300012912

Shparlinskii IE, 1990, 'Generalization of Chebyshev polynomials', Siberian Mathematical Journal, 31, pp. 183 - 185, http://dx.doi.org/10.1007/BF00971170

Shparlinskii IE, 1989, 'On distribution of values of recurrence sequences', Problems of information transmission, 25, pp. 120 - 125

Shparlinskii IE, 1989, 'On arithmetical properties of solutions of norm equations', Russian Mathematical Surveys, 44, pp. 216 - 217, http://dx.doi.org/10.1070/RM1989v044n03ABEH002131

Shparlinskiĭ IE, 1989, 'On polynomials of prescribed height in finite fields', Mathematics of the USSR - Sbornik, 63, pp. 247 - 255, http://dx.doi.org/10.1070/SM1989v063n01ABEH003271

Shparlinskii IE, 1989, 'Dimension of BCH codes', Problems of information transmission, 25, pp. 77 - 80

Shparlinskii IE, 1988, 'Residue classes modulo a prime number in a field of algebraic numbers', Mathematical Notes of the Academy of Sciences of the USSR, 43, pp. 249 - 252, http://dx.doi.org/10.1007/BF01139128

Shparlinskii IE, 1987, 'Number of different prime divisors of recurrence sequences', Mathematical Notes of the Academy of Sciences of the USSR, 42, pp. 773 - 780, http://dx.doi.org/10.1007/BF01138309

Shparlinskii IE, 1986, 'WEIGHT SPECTRA OF SOME CODES.', Problems of information transmission, 22, pp. 111 - 116

Shparlinskii IE, 1985, 'Coefficients of primitive polynomials', Mathematical Notes of the Academy of Sciences of the USSR, 38, pp. 951 - 954, http://dx.doi.org/10.1007/BF01157011

Shparlinskii IE, 1985, 'Number of prime divisors of recurrence sequences', Mathematical Notes of the Academy of Sciences of the USSR, 38, pp. 529 - 532, http://dx.doi.org/10.1007/BF01137461

Kosachevskaya LL; Romanovtsev VV; Shparlinskii IE, 1985, 'On one sequence of iteration parameters', USSR Computational Mathematics and Mathematical Physics, 25, pp. 89 - 93, http://dx.doi.org/10.1016/0041-5553(85)90046-1

Shparlinskii IE, 1984, 'Communications of the moscow mathematical society: On the note of convergence of Newton's interpolation process and the power of certain codes', Russian Mathematical Surveys, 39, pp. 199 - 200, http://dx.doi.org/10.1070/RM1984v039n02ABEH003150

Shparlinskii IE, 1984, 'On a multiplicative generator of pseudorandom numbers', USSR Computational Mathematics and Mathematical Physics, 24, pp. 79 - 81, http://dx.doi.org/10.1016/0041-5553(84)90159-9

Kosachevskaya LL; Shparlinskii IE, 1984, 'The rate of convergence of some iterational processes', USSR Computational Mathematics and Mathematical Physics, 24, pp. 81 - 84, http://dx.doi.org/10.1016/0041-5553(84)90088-0

Shparlinskii IE, 1983, 'On one property of a multiplicative transducer of pseudo-random numbers', USSR Computational Mathematics and Mathematical Physics, 23, pp. 158 - 159, http://dx.doi.org/10.1016/S0041-5553(83)80030-5

Kosachevskaya LL; Romanovtsev VV; Shparlinskiy IE, 1983, 'On the spline-based method for experimental data deconvolution', Computer Physics Communications, 29, pp. 227 - 230, http://dx.doi.org/10.1016/0010-4655(83)90002-4

Kosachevskaya LL; Romanovtsev VV; Shparlinskiy IE; Vystavkin AN, 1982, 'New improved algorithm for the iterative solution of a system of linear algebraic equations', Computer Physics Communications, 27, pp. 87 - 89, http://dx.doi.org/10.1016/0010-4655(82)90011-X

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