By Professor Igor Shparlinski

Preprints

Abdalaoui EHE; Shparlinski IE, 2017, Disjointness of the Möbius Transformation and Möbius Function, , http://dx.doi.org/10.48550/arxiv.1711.11062

Kerr B; Shparlinski IE; Yau KH, 2017, A refinement of the Burgess bound for character sums, , http://dx.doi.org/10.48550/arxiv.1711.10582

Konyagin SV; Makarychev SV; Shparlinski IE; Vyugin IV, 2017, On the new bound for the number of solutions of polynomial equations in subgroups and the structure of graphs of Markoff triples, , http://dx.doi.org/10.48550/arxiv.1711.05335

Munsch M; Shparlinski IE, 2017, On smooth square-free numbers in arithmetic progressions, , http://dx.doi.org/10.48550/arxiv.1710.04705

Shparlinski I, 2017, Trilinear forms with double Kloosterman sums, , http://dx.doi.org/10.48550/arxiv.1710.02777

Karpinski M; Mérai L; Shparlinski IE, 2017, Identity Testing and Interpolation from High Powers of Polynomials of Large Degree over Finite Fields, , http://dx.doi.org/10.48550/arxiv.1708.09095

Bordellès O; Luca F; Moree P; Shparlinski IE, 2017, Denominators of Bernoulli polynomials, , http://dx.doi.org/10.48550/arxiv.1706.09804

Ostafe A; Sha M; Shparlinski IE; Zannier U, 2017, On multiplicative dependence of values of rational functions and a generalisation of the Northcott theorem, , http://dx.doi.org/10.48550/arxiv.1706.05874

Chang M-C; Kerr B; Shparlinski IE, 2017, On the exponential large sieve inequality for sparse sequences modulo primes, , http://dx.doi.org/10.48550/arxiv.1706.04776

Gómez-Pérez D; Mérai L; Shparlinski IE, 2017, On the Complexity of Exact Counting of Dynamically Irreducible Polynomials, , http://dx.doi.org/10.48550/arxiv.1706.04392

Shparlinski IE, 2017, Character sums with smooth numbers, , http://dx.doi.org/10.48550/arxiv.1705.10148

Luca F; Shparlinski IE, 2017, On the error term of a lattice counting problem, , http://dx.doi.org/10.48550/arxiv.1705.08714

Shparlinski IE, 2017, On short products of primes in arithmetic progressions, , http://dx.doi.org/10.48550/arxiv.1705.06087

Luca F; Sha M; Shparlinski IE, 2017, On two functions arising in the study of the Euler and Carmichael quotients, , http://dx.doi.org/10.48550/arxiv.1705.00388

Ostafe A; Sha M; Shparlinski IE; Zannier U, 2017, On abelian multiplicatively dependent points on a curve in a torus, , http://dx.doi.org/10.48550/arxiv.1704.04694

Pomerance C; Shparlinski IE, 2017, Connected components of the graph generated by power maps in prime finite fields, , http://dx.doi.org/10.48550/arxiv.1703.09292

Dubickas A; Sha M; Shparlinski IE, 2017, On distances in lattices from algebraic number fields, , http://dx.doi.org/10.48550/arxiv.1703.02163

Roche-Newton O; Shparlinski I; Winterhof A, 2017, Analogues of the Balog--Wooley Decomposition for Subsets of Finite Fields and Character Sums with Convolutions, , http://dx.doi.org/10.48550/arxiv.1702.04590

Chang M-C; D'Andrea C; Ostafe A; Shparlinski IE; Sombra M, 2017, Orbits of Polynomial Dynamical Systems Modulo Primes, , http://dx.doi.org/10.48550/arxiv.1702.01976

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

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