By Professor Igor Shparlinski

Preprints

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://arxiv.org/abs/2008.00433v1

Shparlinski IE; Stewart CL, 2020, Counting solvable $S$-unit equations, http://arxiv.org/abs/2007.15170v1

Shparlinski IE; Wang Q, 2020, Exponential sums with sparse polynomials over finite fields, http://arxiv.org/abs/2007.14551v1

Karpinski M; Shparlinski I, 2020, Noisy polynomial interpolation modulo prime powers, http://arxiv.org/abs/2006.05685v2

Ostafe A; Shparlinski I, 2020, On the Skolem problem and some related questions for parametric families of linear recurrence sequences, http://arxiv.org/abs/2005.06713v3

Konyagin SV; Shparlinski IE; Vyugin IV, 2020, Polynomial Equations in Subgroups and Applications, http://arxiv.org/abs/2005.05315v1

Kerr B; Mello J; Shparlinski I, 2020, An effective local-global principle for algebraic varieties and the sum product problem in finite fields, http://arxiv.org/abs/2005.02923v3

Chen C; Kerr B; Shparlinski I, 2020, Metric theory of lower bounds on Weyl sums, http://arxiv.org/abs/2004.02539v3

Benedetto DD; 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://arxiv.org/abs/2003.06165v1

Macourt S; Petridis G; Shkredov ID; Shparlinski IE, 2020, Bounds of Trilinear and Trinomial Exponential Sums, http://dx.doi.org/10.1137/20M1325502

Chen C; Shparlinski IE, 2020, Hybrid bounds on two-parametric family Weyl sums along smooth curves, http://arxiv.org/abs/2003.02419v1

Li R; Shparlinski IE, 2020, Effective bounds on multiplicatively dependent orbits of integer polynomials modulo S-integers, http://arxiv.org/abs/2001.09721v1

Kerr B; Mérai L; Shparlinski IE, 2020, On digits of Mersenne numbers, http://arxiv.org/abs/2001.03380v4

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/10.1017/S0004972719001187

Sha M; Shparlinski IE, 2019, Möbius Randomness Law for Frobenius Traces, http://arxiv.org/abs/1909.00969v3

Dietmann R; Ostafe A; Shparlinski IE, 2019, Discriminants of Fields Generated by Polynomials of Given Height, http://arxiv.org/abs/1909.00135v2

Dunn A; Kerr B; Shparlinski IE; Zaharescu A, 2019, Bilinear forms in Weyl sums for modular square roots and applications, http://arxiv.org/abs/1908.10143v3

Ostafe A; Pottmeyer L; Shparlinski IE, 2019, Perfect powers in value sets and orbits of polynomials, http://arxiv.org/abs/1907.12057v3

Banks W; Shparlinski I, 2019, Congruences with intervals and arbitrary sets, http://arxiv.org/abs/1907.03943v1

Chen C; Shparlinski IE, 2019, Small values of Weyl sums, http://arxiv.org/abs/1907.03101v2

Mérai L; Ostafe A; Shparlinski IE, 2019, Dynamical irreducibility of polynomials modulo primes, http://arxiv.org/abs/1905.11657v3

Mérai L; Shparlinski IE, 2019, Unlikely intersections over finite fields: polynomial orbits in small subgroups, http://arxiv.org/abs/1904.12621v2

Chen C; Shparlinski IE, 2019, Hausdorff dimension of the large values of Weyl sums, http://arxiv.org/abs/1904.04457v2

Macourt S; Shparlinski IE, 2019, Double Sums of Kloosterman Sums in Finite Fields, http://arxiv.org/abs/1903.10070v1

Konyagin SV; Sha M; Shparlinski IE; Stewart CL, 2019, On the distribution of multiplicatively dependent vectors, http://arxiv.org/abs/1903.09796v4

Chen C; Shparlinski IE, 2019, New bounds of Weyl sums, http://arxiv.org/abs/1903.07330v7

Shparlinski IE; Technau M, 2019, Kloosterman sums with twice-differentiable functions, http://dx.doi.org/10.7169/facm/1845

Bretèche RDL; Kurlberg P; Shparlinski IE, 2019, On the number of products which form perfect powers and discriminants of multiquadratic extensions, http://arxiv.org/abs/1901.10694v2

Chen C; Shparlinski IE, 2019, On Large Values of Weyl Sums, http://arxiv.org/abs/1901.01551v5

Mérai L; Shparlinski IE, 2018, Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$, http://arxiv.org/abs/1812.08837v2

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://arxiv.org/abs/1811.09329v1

Bérczes A; Ostafe A; Shparlinski IE; Silverman JH, 2018, Multiplicative dependence among iterated values of rational functions modulo finitely generated groups, http://arxiv.org/abs/1811.04971v1

Shparlinski IE; Winterhof A, 2018, Codes correcting restricted errors, http://arxiv.org/abs/1811.03375v1

Shparlinski IE; Voloch JF, 2018, Binomial exponential sums, http://arxiv.org/abs/1811.00765v1

Munsch M; Shparlinski IE; Yau KH, 2018, Smooth squarefree and square-full integers in arithmetic progressions, http://arxiv.org/abs/1810.02573v2

Ricotta G; Royer E; Shparlinski I, 2018, Kloosterman paths of prime powers moduli, II, http://arxiv.org/abs/1810.01150v3

Shparlinski IE; Voloch JF, 2018, Value sets of sparse polynomials, http://dx.doi.org/10.4153/S0008439519000316

Banks WD; Friedlander JB; Pomerance C; Shparlinski IE, 2018, Counting integers with a smooth totient, http://arxiv.org/abs/1809.01214v1

Bordellès O; Dai L; Heyman R; Pan H; Shparlinski IE, 2018, On a sum involving the Euler function, http://arxiv.org/abs/1808.00188v3

Pakovich F; Shparlinski IE, 2018, Level curves of rational functions and unimodular points on rational curves, http://arxiv.org/abs/1805.02913v2

Korolev MA; Shparlinski IE, 2018, Sums of algebraic trace functions twisted by arithmetic functions, http://dx.doi.org/10.2140/pjm.2020.304.505

Shkredov ID; Shparlinski IE, 2018, Double Character Sums with Intervals and Arbitrary Sets in Finite Fields, http://arxiv.org/abs/1803.08699v1

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://arxiv.org/abs/1711.11062v3

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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