By Professor Igor Shparlinski

Preprints

Brandes J; Chen C; Shparlinski IE, 2023, Local mean value estimates for Weyl sums, http://dx.doi.org/10.48550/arxiv.2303.11913

Fouvry É; Shparlinski IE, 2023, On character sums with determinants, http://dx.doi.org/10.48550/arxiv.2210.15761

Mérai L; Shparlinski IE, 2023, Distribution of recursive matrix pseudorandom number generator modulo prime powers, http://dx.doi.org/10.48550/arxiv.2302.03964

Mans B; Sha M; Shparlinski IE; Sutantyo D, 2023, Functional graphs of families of quadratic polynomials, http://dx.doi.org/10.48550/arxiv.2208.01885

Konyagin SV; Sha M; Shparlinski IE; Stewart CL, 2023, On the distribution of multiplicatively dependent vectors, http://dx.doi.org/10.48550/arxiv.1903.09796

Dąbrowski A; Pomykała J; Shparlinski IE, 2023, On oracle factoring of integers, http://dx.doi.org/10.48550/arxiv.1912.00345

Shparlinski IE, 2023, On the number of Diophantine $m$-tuples in finite fields, http://dx.doi.org/10.48550/arxiv.2301.04063

Kaminski M; Shparlinski IE; Waldschmidt M, 2022, On sets of linear forms of maximal complexity, http://dx.doi.org/10.48550/arxiv.2110.04657

Mérai L; Shparlinski IE; Winterhof A, 2022, Character sums over sparse elements of finite fields, http://dx.doi.org/10.48550/arxiv.2211.08452

Ostafe A; Shparlinski IE; Voloch JF, 2022, Weil Sums over Small Subgroups, http://dx.doi.org/10.48550/arxiv.2211.07739

Abdalaoui EHE; Shparlinski IE; Steiner RS, 2022, Chowla and Sarnak Conjectures for Kloosterman Sums, http://dx.doi.org/10.48550/arxiv.2211.00379

Kerr B; Mello J; Shparlinski I, 2022, 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

Shparlinski IE, 2022, Multiplicative Properties of Hilbert Cubes, http://dx.doi.org/10.48550/arxiv.2201.00585

Bagshaw C; Shparlinski IE, 2021, Energy bounds, bilinear sums and their applications in function fields, http://dx.doi.org/10.48550/arxiv.2112.02257

Dietmann R; Ostafe A; Shparlinski IE, 2021, Discriminants of Fields Generated by Polynomials of Given Height, http://dx.doi.org/10.48550/arxiv.1909.00135

Bag N; Shparlinski IE, 2021, Bounds on bilinear sums of Kloosterman sums, http://dx.doi.org/10.48550/arxiv.2111.07311

Shparlinski IE, 2021, On the Glasner property for matrices with polynomial entries, http://dx.doi.org/10.48550/arxiv.2111.05644

Ostafe A; Shparlinski IE, 2021, Additive energy of cyclic matrix groups and character sums with matrix exponential functions, http://dx.doi.org/10.48550/arxiv.2108.13146

Ostafe A; Shparlinski IE; Voloch JF, 2021, Equations and character sums with matrix powers, Kloosterman sums over small subgroups and quantum ergodicity, http://dx.doi.org/10.48550/arxiv.2110.10941

Baker RC; Munsch M; Shparlinski IE, 2021, Additive energy and a large sieve inequality for sparse sequences, http://dx.doi.org/10.48550/arxiv.2103.12659

Baker RC; Chen C; Shparlinski IE, 2021, Large Weyl sums and Hausdorff dimension, http://dx.doi.org/10.48550/arxiv.2108.10439

Baker RC; Chen C; Shparlinski IE, 2021, Bounds on the Norms of Maximal Operators on Weyl Sums, http://dx.doi.org/10.48550/arxiv.2107.13674

Kerr B; Mérai L; Shparlinski IE, 2021, On digits of Mersenne numbers, http://dx.doi.org/10.48550/arxiv.2001.03380

Ostafe A; Shparlinski I, 2021, On the Skolem problem and some related questions for parametric families of linear recurrence sequences, http://dx.doi.org/10.48550/arxiv.2005.06713

Shparlinski IE; Thuswaldner JM, 2021, Weyl sums over integers with digital restrictions, http://dx.doi.org/10.48550/arxiv.2105.04835

Ostafe A; Pottmeyer L; Shparlinski IE, 2021, Perfect powers in value sets and orbits of polynomials, http://dx.doi.org/10.48550/arxiv.1907.12057

Kerr B; Shkredov ID; Shparlinski IE; Zaharescu A, 2021, Energy bounds for modular roots and their applications, http://dx.doi.org/10.48550/arxiv.2103.09405

Ghioca D; Shparlinski I, 2021, Order of torsion for reduction of linearly independent points for a family of Drinfeld modules, http://dx.doi.org/10.48550/arxiv.2103.00641

Ghioca D; Ostafe A; Saleh S; Shparlinski IE, 2021, On sparsity of representations of polynomials as linear combinations of exponential functions, http://dx.doi.org/10.48550/arxiv.2102.01949

Ghioca D; Ostafe A; Saleh S; Shparlinski IE, 2020, A sparsity result for the Dynamical Mordell-Lang Conjecture in positive characteristic, http://dx.doi.org/10.48550/arxiv.2012.13711

Brandes J; Shparlinski IE, 2020, Two-dimensional Weyl sums failing square-root cancellation along lines, http://dx.doi.org/10.48550/arxiv.2012.08877

Chen C; Kerr B; Shparlinski I, 2020, Metric theory of lower bounds on Weyl sums, http://dx.doi.org/10.48550/arxiv.2004.02539

Chen C; Kerr B; Maynard J; Shparlinski I, 2020, Metric theory of Weyl sums, http://dx.doi.org/10.48550/arxiv.2011.09306

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

Mérai L; Ostafe A; Shparlinski IE, 2020, Dynamical irreducibility of polynomials modulo primes, http://dx.doi.org/10.48550/arxiv.1905.11657

Banks W; Shparlinski I, 2020, On a conjecture of Soundararajan, http://dx.doi.org/10.48550/arxiv.2009.06800

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

Dunn A; Kerr B; Shparlinski IE; Zaharescu A, 2020, Bilinear forms in Weyl sums for modular square roots and applications, http://dx.doi.org/10.48550/arxiv.1908.10143

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; Stewart CL, 2020, Counting solvable $S$-unit equations, http://dx.doi.org/10.48550/arxiv.2007.15170

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

Sha M; Shparlinski IE, 2020, Möbius Randomness Law for Frobenius Traces, http://dx.doi.org/10.48550/arxiv.1909.00969

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

Chen C; Shparlinski IE, 2020, On Large Values of Weyl Sums, http://dx.doi.org/10.48550/arxiv.1901.01551

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

Chen C; Shparlinski IE, 2020, Restricted mean value theorems and metric theory of restricted Weyl sums, http://dx.doi.org/10.48550/arxiv.1912.01307

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

Back to profile page