By Professor Igor Shparlinski

Preprints

Glebsky L; Shparlinski IE, 2009, Short Cycles in Repeated Exponentiation Modulo a Prime, http://dx.doi.org/10.48550/arxiv.0908.3920

Pomerance C; Shparlinski IE, 2009, Rank statistics for a family of elliptic curves over a function field, http://dx.doi.org/10.48550/arxiv.0903.2866

Shparlinski IE, 2009, On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles, http://dx.doi.org/10.48550/arxiv.0903.2520

Ostafe A; Shparlinski I, 2009, On the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators, http://dx.doi.org/10.48550/arxiv.0902.3884

Naccache D; Shparlinski IE, 2009, Divisibility, Smoothness and Cryptographic Applications, http://dx.doi.org/10.48550/arxiv.0810.2067

Shparlinski IE, 2008, On Quadratic Fields Generated by Discriminants of Irreducible Trinomials, http://dx.doi.org/10.48550/arxiv.0811.1300

Loiperdinger SS; Shparlinski IE, 2008, On the Distribution of the Euler Function of Shifted Smooth Numbers, http://dx.doi.org/10.48550/arxiv.0810.1093

Ford K; Shparlinski I, 2008, On curves over finite fields with Jacobians of small exponent, http://dx.doi.org/10.48550/arxiv.math/0607474

Shparlinski I, 2008, On Some Weighted Average Values of L-functions, http://dx.doi.org/10.48550/arxiv.0802.2378

Ahmadi O; Shparlinski I, 2008, On the Sum-Product Problem on Elliptic Curves, http://dx.doi.org/10.48550/arxiv.0806.0640

van Dam W; Shparlinski IE, 2008, Classical and Quantum Algorithms for Exponential Congruences, http://dx.doi.org/10.48550/arxiv.0804.1109

Shparlinski IE, 2008, On a Generalised Lehmer Problem for Arbitrary Powers, http://dx.doi.org/10.48550/arxiv.0803.3487

Pomerance C; Shparlinski IE, 2007, On Pseudosquares and Pseudopowers, http://dx.doi.org/10.48550/arxiv.0712.1081

Konyagin SV; Pomerance C; Shparlinski IE, 2007, On the Distribution of Pseudopowers, http://dx.doi.org/10.48550/arxiv.0712.1080

Shparlinski IE, 2007, Tate-Shafarevich Groups and Frobenius Fields of Reductions of Elliptic Curves, http://dx.doi.org/10.48550/arxiv.0707.2976

Khan MR; Shparlinski IE; Yankov CL, 2007, On the Convex Closure of the Graph of Modular Inversions, http://dx.doi.org/10.48550/arxiv.0711.4100

Banks WD; Shparlinski IE, 2007, 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, 2007, Arithmetic and Geometric Progressions in Productsets over Finite Fields, http://dx.doi.org/10.48550/arxiv.0711.1800

Banks WD; Garaev MZ; Heath-Brown DR; Shparlinski IE, 2007, Density of non-residues in Burgess-type intervals and applications, http://dx.doi.org/10.48550/arxiv.math/0607692

Graham SW; Shparlinski IE, 2007, On RSA Moduli with Almost Half of the Bits Prescribed, http://dx.doi.org/10.48550/arxiv.0709.2704

Shparlinski IE, 2007, On The Solvability of Bilinear Equations in Finite Fields, http://dx.doi.org/10.48550/arxiv.0708.2130

Friedlander JB; Kurlberg P; Shparlinski IE, 2007, Products in Residue Classes, http://dx.doi.org/10.48550/arxiv.0708.1562

Banks WD; Shparlinski IE, 2007, Prime numbers with Beatty sequences, http://dx.doi.org/10.48550/arxiv.0708.1015

Ahmadi O; Shparlinski IE; Voloch JF, 2007, Multiplicative Order of Gauss Periods, http://dx.doi.org/10.48550/arxiv.0707.4034

Shparlinski IE, 2007, Approximation by Several Rationals, http://dx.doi.org/10.48550/arxiv.0707.3371

Cojocaru AC; Shparlinski IE, 2007, Distribution of Farey Fractions in Residue Classes and Lang--Trotter Conjectures on Average, http://dx.doi.org/10.48550/arxiv.0705.3861

Shparlinski IE; Voloch JF, 2007, Visible Points on Curves over Finite Fields, http://dx.doi.org/10.48550/arxiv.0704.2446

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

Shparlinski IE, 2007, On Some Dynamical Systems in Finite Fields and Residue Rings, http://dx.doi.org/10.48550/arxiv.math/0607779

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

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

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

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

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

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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