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Select Publications

Preprints

Ford K; Luca F; Shparlinski IE, 2007, On the largest prime factor of the Mersenne numbers, , http://dx.doi.org/10.48550/arxiv.0704.1327

Saxena N; Severini S; Shparlinski I, 2007, Parameters of Integral Circulant Graphs and Periodic Quantum Dynamics, , http://dx.doi.org/10.48550/arxiv.quant-ph/0703236

Banks WD; Shparlinski IE, 2006, Sato--Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height, , http://dx.doi.org/10.48550/arxiv.math/0609144

Shparlinski IE, 2006, Distribution of modular inverses and multiples of small integers and the Sato--Tate conjecture on average, , http://dx.doi.org/10.48550/arxiv.math/0608596

Shparlinski IE, 2006, On the distribution of Kloosterman sums, , http://dx.doi.org/10.48550/arxiv.math/0608595

Banks WD; Shparlinski IE, 2006, Character sums with Beatty sequences on Burgess-type intervals, , http://dx.doi.org/10.48550/arxiv.math/0608042

Shparlinski IE, 2006, On Some Dynamical Systems in Finite Fields and Residue Rings, , http://dx.doi.org/10.48550/arxiv.math/0607779

Banks WD; Garaev MZ; Heath-Brown DR; Shparlinski IE, 2006, Density of non-residues in Burgess-type intervals and applications, , http://dx.doi.org/10.48550/arxiv.math/0607692

Luca F; Shparlinski IE, 2006, Arithmetic properties of the Ramanujan function, , http://dx.doi.org/10.48550/arxiv.math/0607591

Ford K; Shparlinski I, 2006, On curves over finite fields with Jacobians of small exponent, , http://dx.doi.org/10.48550/arxiv.math/0607474

Shparlinski I, 2006, On a Generalisation of a Lehmer Problem, , http://dx.doi.org/10.48550/arxiv.math/0607414

Banks WD; Shparlinski IE, 2006, Integers with a large smooth divisor, , http://dx.doi.org/10.48550/arxiv.math/0601460

Banks WD; Garaev MZ; Luca F; Shparlinski IE, 2005, Uniform Distribution of Fractional Parts Related to Pseudoprimes, , http://dx.doi.org/10.48550/arxiv.math/0505098

Klappenecker A; Roetteler M; Shparlinski I; Winterhof A, 2005, On Approximately Symmetric Informationally Complete Positive Operator-Valued Measures and Related Systems of Quantum States, , http://dx.doi.org/10.48550/arxiv.quant-ph/0503239

Everest G; Shparlinski IE, 2004, Prime divisors of sequences associated to elliptic curves, , http://dx.doi.org/10.48550/arxiv.math/0404129

Contini S; Croot E; Shparlinski I, 2004, Complexity of Inverting the Euler Function, , http://dx.doi.org/10.48550/arxiv.math/0404116

Garaev MZ; Luca F; Shparlinski IE, 2004, Character Sums and Congruences with n!, , http://dx.doi.org/10.48550/arxiv.math/0403422

Garaev MZ; Luca F; Shparlinski IE, 2004, Exponential Sums and Congruences with Factorials, , http://dx.doi.org/10.48550/arxiv.math/0403424

Russell A; Shparlinski I, 2002, Classical and Quantum Polynomial Reconstruction via Legendre Symbol Evaluation, , http://dx.doi.org/10.48550/arxiv.quant-ph/0212016


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