By Professor Igor Shparlinski

Preprints

Macourt S; Shkredov ID; Shparlinski IE, 2017, Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields, http://dx.doi.org/10.48550/arxiv.1701.06192

Liu K; Shparlinski IE; Zhang T, 2016, Cancellations between Kloosterman sums modulo a prime power with prime arguments, http://dx.doi.org/10.48550/arxiv.1612.05905

Shparlinski IE; Zumalacárregui A, 2016, Sums of inverses in thin sets of finite fields, http://dx.doi.org/10.48550/arxiv.1611.07647

Liu K; Shparlinski IE; Zhang T, 2016, Bilinear Forms with Exponential Sums with Binomials, http://dx.doi.org/10.48550/arxiv.1611.06635

Shparlinski IE; Zhao L, 2016, Elliptic curves in isogeny classes, http://dx.doi.org/10.48550/arxiv.1611.05258

Bell J; Shparlinski IE, 2016, Power Series Approximations to Fekete Polynomials, http://dx.doi.org/10.48550/arxiv.1611.04356

Liu K; Shparlinski IE; Zhang T, 2016, Squares in Piatetski--Shapiro Sequences, http://dx.doi.org/10.48550/arxiv.1610.07395

Shkredov ID; Shparlinski IE, 2016, On Some Multiple Character Sums, http://dx.doi.org/10.48550/arxiv.1610.01061

Gómez-Pérez D; Shparlinski IE, 2016, Arithmetic Properties of Integers in Chains and Reflections of $g$-ary Expansions, http://dx.doi.org/10.48550/arxiv.1609.05950

Shparlinski IE, 2016, Bilinear Forms with Kloosterman and Gauss Sums, http://dx.doi.org/10.48550/arxiv.1608.06160

Pappalardi F; Sha M; Shparlinski IE; Stewart CL, 2016, On multiplicatively dependent vectors of algebraic numbers, http://dx.doi.org/10.48550/arxiv.1606.02874

Banks W; Shparlinski I, 2016, Bounds on short character sums and L-functions for characters with a smooth modulus, http://dx.doi.org/10.48550/arxiv.1605.07553

Petridis G; Shparlinski IE, 2016, Bounds on trilinear and quadrilinear exponential sums, http://dx.doi.org/10.48550/arxiv.1604.08469

Banks WD; Shparlinski IE, 2016, On the number of distinct quadratic fields generated by the Shanks sequence, http://dx.doi.org/10.48550/arxiv.1602.06473

Liu K; Shparlinski IE; Zhang T, 2016, Divisor problem in arithmetic progressions modulo a prime power, http://dx.doi.org/10.48550/arxiv.1602.03583

Shparlinski IE, 2016, Constructing Dominating Sets in Circulant Graphs, http://dx.doi.org/10.48550/arxiv.1602.01286

Shparlinski IE; Zhang TP, 2016, Cancellations Amongst Kloosterman Sums, http://dx.doi.org/10.48550/arxiv.1601.05123

Dietmann R; Elsholtz C; Shparlinski IE, 2016, Prescribing the binary digits of squarefree numbers and quadratic residues, http://dx.doi.org/10.48550/arxiv.1601.04754

Sha M; Shparlinski IE, 2015, The Sato--Tate Distribution in Families of Elliptic Curves with a Rational Parameter of Bounded Height, http://dx.doi.org/10.48550/arxiv.1512.07301

Shparlinski IE; Weingartner AJ, 2015, An explicit polynomial analogue of Romanoff's theorem, http://dx.doi.org/10.48550/arxiv.1510.08991

Childs AM; van Dam W; Hung S-H; Shparlinski IE, 2015, Optimal quantum algorithm for polynomial interpolation, http://dx.doi.org/10.48550/arxiv.1509.09271

de la Bretèche R; Sha M; Shparlinski IE; Voloch JF, 2015, The Sato-Tate Distribution in Thin Parametric Families of Elliptic Curves, http://dx.doi.org/10.48550/arxiv.1509.03009

Banks WD; Guo VZ; Shparlinski IE, 2015, Some arithmetic properties of numbers of the form $\lfloor p^c\rfloor$, http://dx.doi.org/10.48550/arxiv.1508.03281

Camburu O-M; Ciolan E-A; Luca F; Moree P; Shparlinski IE, 2015, Cyclotomic coefficients: gaps and jumps, http://dx.doi.org/10.48550/arxiv.1507.07098

Munsch M; Shparlinski IE, 2015, Upper and lower bounds for higher moments of theta functions, http://dx.doi.org/10.48550/arxiv.1506.01999

Nguyen PQ; Shparlinski IE, 2015, Counting Co-Cyclic Lattices, http://dx.doi.org/10.48550/arxiv.1505.06429

D'Andrea C; Ostafe A; Shparlinski IE; Sombra M, 2015, Reductions Modulo Primes of Systems of Polynomial Equations and Algebraic Dynamical Systems, http://dx.doi.org/10.48550/arxiv.1505.05814

Shparlinski IE, 2015, On Bilinear Exponential and Character Sums with Reciprocals of Polynomials, http://dx.doi.org/10.48550/arxiv.1504.03192

Heyman R; Shparlinski IE, 2015, Counting irreducible binomials over finite fields, http://dx.doi.org/10.48550/arxiv.1504.01172

Shparlinski IE, 2015, Linear Congruences with Ratios, http://dx.doi.org/10.48550/arxiv.1503.03196

Shparlinski IE, 2015, Linear Equations with Rational Fractions of Bounded Height and Stochastic Matrices, http://dx.doi.org/10.48550/arxiv.1503.02370

Ivanyos G; Karpinski M; Santha M; Saxena N; Shparlinski I, 2015, Polynomial Interpolation and Identity Testing from High Powers over Finite Fields, http://dx.doi.org/10.48550/arxiv.1502.06631

Munsch M; Shparlinski I, 2014, Congruences with intervals and subgroups modulo a prime, http://dx.doi.org/10.48550/arxiv.1412.0440

Banks WD; Shparlinski IE, 2014, Fractional parts of Dedekind sums, http://dx.doi.org/10.48550/arxiv.1411.1820

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

Back to profile page