By Professor Igor Shparlinski

Preprints

Sha M; Shparlinski IE, 2014, Effective results on linear dependence for elliptic curves, , http://dx.doi.org/10.48550/arxiv.1410.1596

Chang M-C; Shparlinski IE, 2014, On the Density of Integer Points on Generalised Markoff-Hurwitz and Dwork Hypersurfaces, , http://dx.doi.org/10.48550/arxiv.1408.4514

Harman G; Shparlinski IE, 2014, Products of Small Integers in Residue Classes and Additive Properties of Fermat Quotients, , http://dx.doi.org/10.48550/arxiv.1408.4515

Roche-Newton O; Shparlinski I, 2014, Polynomial Values in Subfields and Affine Subspaces of Finite Fields, , http://dx.doi.org/10.48550/arxiv.1407.2273

Shparlinski IE, 2014, On the Density of Integer Points on the Generalised Markoff-Hurwitz and Dwork Hypersurfaces, , http://dx.doi.org/10.48550/arxiv.1404.5866

Fite F; Shparlinski IE, 2014, On the singularity of the Demjanenko matrix of quotients of Fermat curves, , http://dx.doi.org/10.48550/arxiv.1404.5178

Sha M; Shparlinski IE, 2014, Lang-Trotter and Sato-Tate Distributions in Single and Double Parametric Families of Elliptic Curves, , http://dx.doi.org/10.48550/arxiv.1404.0182

Shparlinski IE; Sutherland AV, 2014, On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average, , http://dx.doi.org/10.48550/arxiv.1404.0399

Shparlinski IE; Sutherland AV, 2014, Finding elliptic curves with a subgroup of prescribed size, , http://dx.doi.org/10.48550/arxiv.1403.7887

Blackburn SR; Konyagin SV; Shparlinski IE, 2014, Counting Additive Decompositions of Quadratic Residues in Finite Fields, , http://dx.doi.org/10.48550/arxiv.1403.2589

Gathen JVZ; Shparlinski IE, 2014, Circulant graphs and GCD and LCM of Subsets, , http://dx.doi.org/10.48550/arxiv.1402.5449

Kurlberg P; Luca F; Shparlinski I, 2014, On the Fixed Points of the Map x -> x^x Modulo a Prime, , http://dx.doi.org/10.48550/arxiv.1402.4464

Shparlinski IE, 2014, Cayley graphs generated by small degree polynomials over finite fields, , http://dx.doi.org/10.48550/arxiv.1402.3492

Heyman R; Shparlinski IE, 2014, On the Greatest Common Divisor of Shifted Sets, , http://dx.doi.org/10.48550/arxiv.1402.1208

Dubickas A; Sha M; Shparlinski IE, 2014, Explicit form of Cassels' $p$-adic embedding theorem for number fields, , http://dx.doi.org/10.48550/arxiv.1401.6819

Chang M-C; Shparlinski IE, 2014, Double Character Sums over Subgroups and Intervals, , http://dx.doi.org/10.48550/arxiv.1401.6611

Garcia-Morchon O; Rietman R; Shparlinski IE; Tolhuizen L, 2014, Interpolation and Approximation of Polynomials in Finite Fields over a Short Interval from Noisy Values, , http://dx.doi.org/10.48550/arxiv.1401.1331

Shparlinski IE, 2014, Polynomial Values in Small Subgroups of Finite Fields, , http://dx.doi.org/10.48550/arxiv.1401.0964

Kaszian J; Moree P; Shparlinski IE, 2013, Periodic Structure of the Exponential Pseudorandom Number Generator, , http://dx.doi.org/10.48550/arxiv.1312.1311

Konyagin SV; Shparlinski IE, 2013, Quadratic Non-residues in Short Intervals, , http://dx.doi.org/10.48550/arxiv.1311.7016

Banks WD; Shparlinski IE, 2013, On Gauss sums and the evaluation of Stechkin's constant, , http://dx.doi.org/10.48550/arxiv.1310.5669

Chen Z; Shparlinski IE; Winterhof A, 2013, Covering sets for limited-magnitude errors, , http://dx.doi.org/10.48550/arxiv.1310.0120

Gomez-Perez D; Shparlinski IE, 2013, Subgroups Generated by Rational Functions in Finite Fields, , http://dx.doi.org/10.48550/arxiv.1309.7378

Shparlinski I, 2013, Multiple Exponential and Character Sums with Monomials, , http://dx.doi.org/10.48550/arxiv.1309.0324

Luca F; Radziwill M; Shparlinski IE, 2013, On the Typical Size and Cancelations Among the Coefficients of Some Modular Forms, , http://dx.doi.org/10.48550/arxiv.1308.6606

Bourgain J; Konyagin S; Shparlinski I, 2013, Character Sums and Deterministic Polynomial Root Finding in Finite Fields, , http://dx.doi.org/10.48550/arxiv.1308.4803

Konyagin SV; Luca F; Mans B; Mathieson L; Sha M; Shparlinski IE, 2013, Functional Graphs of Polynomials over Finite Fields, , http://dx.doi.org/10.48550/arxiv.1307.2718

Koh D; Shen C-Y; Shparlinski I, 2013, Averaging operators over homogeneous varieties over finite fields, , http://dx.doi.org/10.48550/arxiv.1304.1990

Shparlinski I, 2013, Evasive Properties of Sparse Graphs and Some Linear Equations in Primes, , http://dx.doi.org/10.48550/arxiv.1304.0188

Heyman R; Shparlinski IE, 2013, On Shifted Eisenstein Polynomials, , http://dx.doi.org/10.48550/arxiv.1302.6097

Heyman R; Shparlinski IE, 2013, On the Number of Eisenstein Polynomials of Bounded Height, , http://dx.doi.org/10.48550/arxiv.1302.6094

Ahmadi O; Shparlinski IE, 2013, Exponential Sums over Points of Elliptic Curves, , http://dx.doi.org/10.48550/arxiv.1302.4210

Shparlinski I, 2013, Additive Decompositions of Subgroups of Finite Fields, , http://dx.doi.org/10.48550/arxiv.1301.2872

Shparlinski IE, 2013, On Solutions to Some Polynomial Congruences in Small Boxes, , http://dx.doi.org/10.48550/arxiv.1301.1758

Shparlinski I, 2012, On the Product of Small Elkies Primes, , http://dx.doi.org/10.48550/arxiv.1301.0035

Harvey D; Shparlinski I, 2012, Statistics of Different Reduction Types of Fermat Curves, , http://dx.doi.org/10.48550/arxiv.1212.0915

Kerr B; Shparlinski IE, 2012, On the Distribution of Values and Zeros of Polynomial Systems over Arbitrary Sets, , http://dx.doi.org/10.48550/arxiv.1210.6721

Bourgain J; Garaev MZ; Konyagin SV; Shparlinski IE, 2012, Multiplicative Congruences with Variables from Short Intervals, , http://dx.doi.org/10.48550/arxiv.1210.6429

Dietmann R; Elsholtz C; Shparlinski IE, 2012, On Gaps Between Primitive Roots in the Hamming Metric, , http://dx.doi.org/10.48550/arxiv.1207.0842

Luca F; Shparlinski IE, 2012, On the Counting Function of Elliptic Carmichael Numbers, , http://dx.doi.org/10.48550/arxiv.1206.3476

Shparlinski IE; Steiner W, 2012, On digit patterns in expansions of rational numbers with prime denominator, , http://dx.doi.org/10.48550/arxiv.1205.5673

Shparlinski IE, 2012, On the Lang-Trotter and Sato-Tate Conjectures on Average for Polynomial Families of Elliptic Curves, , http://dx.doi.org/10.48550/arxiv.1203.6500

Baker RC; Banks WD; Brüdern J; Shparlinski IE; Weingartner AJ, 2012, Piatetski-Shapiro sequences, , http://dx.doi.org/10.48550/arxiv.1203.5884

Bourgain J; Garaev M; Konyagin S; Shparlinski I, 2012, On Congruences with Products of Variables from Short Intervals and Applications, , http://dx.doi.org/10.48550/arxiv.1203.0017

Shparlinski IE; Sutherland AV, 2011, On the Distribution of Atkin and Elkies Primes, , http://dx.doi.org/10.48550/arxiv.1112.3390

Bibak K; Shparlinski IE, 2011, On fully split lacunary polynomials in finite fields, , http://dx.doi.org/10.48550/arxiv.1111.4023

Chang M-C; Cilleruelo J; Garaev MZ; Hernández J; Shparlinski IE; Zumalacárregui A, 2011, Points on curves in small boxes en applications, , http://dx.doi.org/10.48550/arxiv.1111.1543

Bourgain J; Garaev MZ; Konyagin SV; Shparlinski IE, 2011, On the Hidden Shifted Power Problem, , http://dx.doi.org/10.48550/arxiv.1110.0812

Ostafe A; Shparlinski I, 2011, Degree Growth, Linear Independence and Periods of a Class of Rational Dynamical Systems, , http://dx.doi.org/10.48550/arxiv.1109.0575

Shparlinski IE, 2011, Fermat quotients: Exponential sums, value set and primitive roots, , http://dx.doi.org/10.48550/arxiv.1104.3909

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