By Professor Igor Shparlinski

Preprints

Bag N; Shparlinski IE, 2021, Bounds on bilinear sums of Kloosterman sums, http://arxiv.org/abs/2111.07311v1

Shparlinski IE, 2021, On the Glasner property for matrices with polynomial entries, http://arxiv.org/abs/2111.05644v1

Ostafe A; Shparlinski IE; Voloch JF, 2021, Equations and character sums with matrix powers, Kloosterman sums over small subgroups and quantum ergodicity, http://arxiv.org/abs/2110.10941v1

Kaminski M; Shparlinski IE; Waldschmidt M, 2021, On sets of linear forms of maximal complexity, http://dx.doi.org/10.1007/s00037-022-00234-5

Ostafe A; Shparlinski IE, 2021, Additive energy of cyclic matrix groups and character sums with matrix exponential functions, http://arxiv.org/abs/2108.13146v2

Baker RC; Chen C; Shparlinski IE, 2021, Large Weyl sums and Hausdorff dimension, http://arxiv.org/abs/2108.10439v1

Baker RC; Chen C; Shparlinski IE, 2021, Bounds on the Norms of Maximal Operators on Weyl Sums, http://arxiv.org/abs/2107.13674v1

Shparlinski IE; Thuswaldner JM, 2021, Weyl sums over integers with digital restrictions, http://arxiv.org/abs/2105.04835v1

Baker RC; Munsch M; Shparlinski IE, 2021, Additive energy and a large sieve inequality for sparse sequences, http://arxiv.org/abs/2103.12659v2

Kerr B; Shkredov ID; Shparlinski IE; Zaharescu A, 2021, Energy bounds for modular roots and their applications, http://arxiv.org/abs/2103.09405v1

Ghioca D; Shparlinski I, 2021, Order of torsion for reduction of linearly independent points for a family of Drinfeld modules, http://arxiv.org/abs/2103.00641v1

Ghioca D; Ostafe A; Saleh S; Shparlinski IE, 2021, On sparsity of representations of polynomials as linear combinations of exponential functions, http://arxiv.org/abs/2102.01949v1

Ghioca D; Ostafe A; Saleh S; Shparlinski IE, 2020, A sparsity result for the Dynamical Mordell-Lang Conjecture in positive characteristic, http://arxiv.org/abs/2012.13711v1

Brandes J; Shparlinski IE, 2020, Two-dimensional Weyl sums failing square-root cancellation along lines, http://arxiv.org/abs/2012.08877v1

Chen C; Kerr B; Maynard J; Shparlinski I, 2020, Metric theory of Weyl sums, http://arxiv.org/abs/2011.09306v1

Banks W; Shparlinski I, 2020, On a conjecture of Soundararajan, http://dx.doi.org/10.1112/blms.12524

Shkredov ID; Shparlinski IE; Zaharescu A, 2020, On the distribution of modular square roots of primes, http://arxiv.org/abs/2009.03460v1

Mérai L; Shparlinski IE, 2020, On the Dynamical System Generated by the Möbius transformation at Prime Times, http://arxiv.org/abs/2009.01089v1

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://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

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