By Professor Igor Shparlinski

Preprints

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://arxiv.org/abs/1710.02777v1

Karpinski M; Mérai L; Shparlinski IE, 2017, Identity Testing and Interpolation from High Powers of Polynomials of Large Degree over Finite Fields, http://arxiv.org/abs/1708.09095v2

Bordellès O; Luca F; Moree P; Shparlinski IE, 2017, Denominators of Bernoulli polynomials, http://dx.doi.org/10.1112/S0025579318000153

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://arxiv.org/abs/1706.05874v5

Mans B; Sha M; Shparlinski IE; Sutantyo D, 2017, On Functional Graphs of Quadratic Polynomials, http://arxiv.org/abs/1706.04734v1

Chang M-C; Kerr B; Shparlinski IE, 2017, On the exponential large sieve inequality for sparse sequences modulo primes, http://arxiv.org/abs/1706.04776v2

Gómez-Pérez D; Mérai L; Shparlinski IE, 2017, On the Complexity of Exact Counting of Dynamically Irreducible Polynomials, http://arxiv.org/abs/1706.04392v2

Shparlinski IE, 2017, Character sums with smooth numbers, http://arxiv.org/abs/1705.10148v2

Luca F; Shparlinski IE, 2017, On the error term of a lattice counting problem, http://arxiv.org/abs/1705.08714v1

Shparlinski IE, 2017, On short products of primes in arithmetic progressions, http://arxiv.org/abs/1705.06087v1

Luca F; Sha M; Shparlinski IE, 2017, On two functions arising in the study of the Euler and Carmichael quotients, http://arxiv.org/abs/1705.00388v1

Ostafe A; Sha M; Shparlinski IE; Zannier U, 2017, On abelian multiplicatively dependent points on a curve in a torus, http://arxiv.org/abs/1704.04694v4

Pomerance C; Shparlinski IE, 2017, Connected components of the graph generated by power maps in prime finite fields, http://arxiv.org/abs/1703.09292v2

Dubickas A; Sha M; Shparlinski IE, 2017, On distances in lattices from algebraic number fields, http://arxiv.org/abs/1703.02163v1

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://arxiv.org/abs/1702.04590v1

Chang M-C; D'Andrea C; Ostafe A; Shparlinski IE; Sombra M, 2017, Orbits of Polynomial Dynamical Systems Modulo Primes, http://arxiv.org/abs/1702.01976v1

Macourt S; Shkredov ID; Shparlinski IE, 2017, Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields, http://arxiv.org/abs/1701.06192v2

Liu K; Shparlinski IE; Zhang T, 2016, Cancellations between Kloosterman sums modulo a prime power with prime arguments, http://arxiv.org/abs/1612.05905v1

Shparlinski IE; Zumalacárregui A, 2016, Sums of inverses in thin sets of finite fields, http://arxiv.org/abs/1611.07647v1

Liu K; Shparlinski IE; Zhang T, 2016, Bilinear Forms with Exponential Sums with Binomials, http://arxiv.org/abs/1611.06635v2

Shparlinski IE; Zhao L, 2016, Elliptic curves in isogeny classes, http://arxiv.org/abs/1611.05258v1

Bell J; Shparlinski IE, 2016, Power Series Approximations to Fekete Polynomials, http://arxiv.org/abs/1611.04356v2

Liu K; Shparlinski IE; Zhang T, 2016, Squares in Piatetski--Shapiro Sequences, http://arxiv.org/abs/1610.07395v1

Shkredov ID; Shparlinski IE, 2016, On Some Multiple Character Sums, http://dx.doi.org/10.1112/S0025579317000055

Gómez-Pérez D; Shparlinski IE, 2016, Arithmetic Properties of Integers in Chains and Reflections of $g$-ary Expansions, http://arxiv.org/abs/1609.05950v1

Shparlinski IE, 2016, Bilinear Forms with Kloosterman and Gauss Sums, http://arxiv.org/abs/1608.06160v1

Pappalardi F; Sha M; Shparlinski IE; Stewart CL, 2016, On multiplicatively dependent vectors of algebraic numbers, http://arxiv.org/abs/1606.02874v1

Banks W; Shparlinski I, 2016, Bounds on short character sums and L-functions for characters with a smooth modulus, http://arxiv.org/abs/1605.07553v2

Petridis G; Shparlinski IE, 2016, Bounds on trilinear and quadrilinear exponential sums, http://arxiv.org/abs/1604.08469v4

Banks WD; Shparlinski IE, 2016, On the number of distinct quadratic fields generated by the Shanks sequence, http://arxiv.org/abs/1602.06473v1

Liu K; Shparlinski IE; Zhang T, 2016, Divisor problem in arithmetic progressions modulo a prime power, http://arxiv.org/abs/1602.03583v1

Shparlinski IE, 2016, Constructing Dominating Sets in Circulant Graphs, http://arxiv.org/abs/1602.01286v2

Shparlinski IE; Zhang TP, 2016, Cancellations Amongst Kloosterman Sums, http://arxiv.org/abs/1601.05123v2

Dietmann R; Elsholtz C; Shparlinski IE, 2016, Prescribing the binary digits of squarefree numbers and quadratic residues, http://arxiv.org/abs/1601.04754v1

Sha M; Shparlinski IE, 2015, The Sato--Tate Distribution in Families of Elliptic Curves with a Rational Parameter of Bounded Height, http://arxiv.org/abs/1512.07301v1

Shparlinski IE; Weingartner AJ, 2015, An explicit polynomial analogue of Romanoff's theorem, http://arxiv.org/abs/1510.08991v1

Childs AM; Dam WV; Hung S-H; Shparlinski IE, 2015, Optimal quantum algorithm for polynomial interpolation, http://dx.doi.org/10.4230/LIPIcs.ICALP.2016.16

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://arxiv.org/abs/1508.03281v2

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://arxiv.org/abs/1505.06429v1

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/10.1112/S0025579316000036

Heyman R; Shparlinski IE, 2015, Counting irreducible binomials over finite fields, http://arxiv.org/abs/1504.01172v1

Shparlinski IE, 2015, Linear Congruences with Ratios, http://arxiv.org/abs/1503.03196v1

Shparlinski IE, 2015, Linear Equations with Rational Fractions of Bounded Height and Stochastic Matrices, http://arxiv.org/abs/1503.02370v1

Ivanyos G; Karpinski M; Santha M; Saxena N; Shparlinski I, 2015, Polynomial Interpolation and Identity Testing from High Powers over Finite Fields, http://arxiv.org/abs/1502.06631v1

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

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