By Professor Igor Shparlinski

Preprints

Shkredov ID; Shparlinski IE; Zaharescu A, 2020, On the distribution of modular square roots of primes, , http://dx.doi.org/10.48550/arxiv.2009.03460

Mérai L; Shparlinski IE, 2020, On the Dynamical System Generated by the Möbius transformation at Prime Times, , http://dx.doi.org/10.48550/arxiv.2009.01089

Kerr B; Mello J; Shparlinski IE, 2020, On elements of large order of elliptic curves and multiplicative dependent images of rational functions over finite fields, , http://dx.doi.org/10.48550/arxiv.2008.00433

Shparlinski IE; Wang Q, 2020, Exponential sums with sparse polynomials over finite fields, , http://dx.doi.org/10.48550/arxiv.2007.14551

Karpinski M; Shparlinski I, 2020, Noisy polynomial interpolation modulo prime powers, , http://dx.doi.org/10.48550/arxiv.2006.05685

Ostafe A; Shparlinski I, 2020, On the Skolem problem and some related questions for parametric families of linear recurrence sequences, , http://dx.doi.org/10.48550/arxiv.2005.06713

Konyagin SV; Shparlinski IE; Vyugin IV, 2020, Polynomial Equations in Subgroups and Applications, , http://dx.doi.org/10.48550/arxiv.2005.05315

Kerr B; Mello J; Shparlinski I, 2020, An effective local-global principle for algebraic varieties and the sum product problem in finite fields, , http://dx.doi.org/10.48550/arxiv.2005.02923

di Benedetto D; Garaev MZ; García VC; González-Sánchez D; Shparlinski IE; Trujillo CA, 2020, New estimates for exponential sums over multiplicative subgroups and intervals in prime fields, , http://dx.doi.org/10.48550/arxiv.2003.06165

Macourt S; Petridis G; Shkredov ID; Shparlinski IE, 2020, Bounds of Trilinear and Trinomial Exponential Sums, , http://dx.doi.org/10.48550/arxiv.2003.03493

Chen C; Shparlinski IE, 2020, Hybrid bounds on two-parametric family Weyl sums along smooth curves, , http://dx.doi.org/10.48550/arxiv.2003.02419

Li R; Shparlinski IE, 2020, Effective bounds on multiplicatively dependent orbits of integer polynomials modulo S-integers, , http://dx.doi.org/10.48550/arxiv.2001.09721

Kerr B; Mérai L; Shparlinski IE, 2020, On digits of Mersenne numbers, , http://dx.doi.org/10.48550/arxiv.2001.03380

Chen C; Shparlinski IE, 2019, Restricted mean value theorems and metric theory of restricted Weyl sums, , http://dx.doi.org/10.48550/arxiv.1912.01307

Dąbrowski A; Pomykała J; Shparlinski IE, 2019, On oracle factoring of integers, , http://dx.doi.org/10.48550/arxiv.1912.00345

Chen C; Shparlinski IE, 2019, On a Hybrid Version of the Vinogradov Mean Value Theorem, , http://dx.doi.org/10.48550/arxiv.1910.07329

Breuer F; Shparlinski IE, 2019, Lower bounds for periods of Ducci sequences, , http://dx.doi.org/10.48550/arxiv.1909.04462

Sha M; Shparlinski IE, 2019, Möbius Randomness Law for Frobenius Traces, , http://dx.doi.org/10.48550/arxiv.1909.00969

Dietmann R; Ostafe A; Shparlinski IE, 2019, Discriminants of Fields Generated by Polynomials of Given Height, , http://dx.doi.org/10.48550/arxiv.1909.00135

Dunn A; Kerr B; Shparlinski IE; Zaharescu A, 2019, Bilinear forms in Weyl sums for modular square roots and applications, , http://dx.doi.org/10.48550/arxiv.1908.10143

Ostafe A; Pottmeyer L; Shparlinski IE, 2019, Perfect powers in value sets and orbits of polynomials, , http://dx.doi.org/10.48550/arxiv.1907.12057

Banks W; Shparlinski I, 2019, Congruences with intervals and arbitrary sets, , http://dx.doi.org/10.48550/arxiv.1907.03943

Chen C; Shparlinski IE, 2019, Small values of Weyl sums, , http://dx.doi.org/10.48550/arxiv.1907.03101

Mérai L; Ostafe A; Shparlinski IE, 2019, Dynamical irreducibility of polynomials modulo primes, , http://dx.doi.org/10.48550/arxiv.1905.11657

Mérai L; Shparlinski IE, 2019, Unlikely intersections over finite fields: polynomial orbits in small subgroups, , http://dx.doi.org/10.48550/arxiv.1904.12621

Chen C; Shparlinski IE, 2019, Hausdorff dimension of the large values of Weyl sums, , http://dx.doi.org/10.48550/arxiv.1904.04457

Macourt S; Shparlinski IE, 2019, Double Sums of Kloosterman Sums in Finite Fields, , http://dx.doi.org/10.48550/arxiv.1903.10070

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

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