By Professor Igor Shparlinski

Preprints

Konyagin SV; Sha M; Shparlinski IE; Stewart CL, 2019, On the distribution of multiplicatively dependent vectors, http://dx.doi.org/10.48550/arxiv.1903.09796

Chen C; Shparlinski IE, 2019, New bounds of Weyl sums, http://dx.doi.org/10.48550/arxiv.1903.07330

Shparlinski IE; Technau M, 2019, Kloosterman sums with twice-differentiable functions, http://dx.doi.org/10.48550/arxiv.1902.05989

de la Bretèche R; Kurlberg P; Shparlinski IE, 2019, On the number of products which form perfect powers and discriminants of multiquadratic extensions, http://dx.doi.org/10.48550/arxiv.1901.10694

Chen C; Shparlinski IE, 2019, On Large Values of Weyl Sums, http://dx.doi.org/10.48550/arxiv.1901.01551

Mérai L; Shparlinski IE, 2018, Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$, http://dx.doi.org/10.48550/arxiv.1812.08837

Kerr B; Shparlinski IE, 2018, Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions, http://dx.doi.org/10.48550/arxiv.1811.09329

Bérczes A; Ostafe A; Shparlinski IE; Silverman JH, 2018, Multiplicative dependence among iterated values of rational functions modulo finitely generated groups, http://dx.doi.org/10.48550/arxiv.1811.04971

Shparlinski IE; Winterhof A, 2018, Codes correcting restricted errors, http://dx.doi.org/10.48550/arxiv.1811.03375

Shparlinski IE; Voloch JF, 2018, Binomial exponential sums, http://dx.doi.org/10.48550/arxiv.1811.00765

Munsch M; Shparlinski IE; Yau KH, 2018, Smooth squarefree and square-full integers in arithmetic progressions, http://dx.doi.org/10.48550/arxiv.1810.02573

Ricotta G; Royer E; Shparlinski I, 2018, Kloosterman paths of prime powers moduli, II, http://dx.doi.org/10.48550/arxiv.1810.01150

Shparlinski IE; Voloch JF, 2018, Value sets of sparse polynomials, http://dx.doi.org/10.48550/arxiv.1809.02708

Banks WD; Friedlander JB; Pomerance C; Shparlinski IE, 2018, Counting integers with a smooth totient, http://dx.doi.org/10.48550/arxiv.1809.01214

Bordellès O; Dai L; Heyman R; Pan H; Shparlinski IE, 2018, On a sum involving the Euler function, http://dx.doi.org/10.48550/arxiv.1808.00188

Pakovich F; Shparlinski IE, 2018, Level curves of rational functions and unimodular points on rational curves, http://dx.doi.org/10.48550/arxiv.1805.02913

Korolev MA; Shparlinski IE, 2018, Sums of algebraic trace functions twisted by arithmetic functions, http://dx.doi.org/10.48550/arxiv.1804.01337

Shkredov ID; Shparlinski IE, 2018, Double Character Sums with Intervals and Arbitrary Sets in Finite Fields, http://dx.doi.org/10.48550/arxiv.1803.08699

Mérai L; Shparlinski IE, 2018, Sparsity of curves and additive and multiplicative expansion of rational maps over finite fields, http://dx.doi.org/10.48550/arxiv.1803.02165

Banks WD; Shparlinski IE, 2018, Sums with the Mobius function twisted by characters with powerful moduli, http://dx.doi.org/10.48550/arxiv.1801.10276

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

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