Select Publications
Preprints
2021, Additive energy and a large sieve inequality for sparse sequences, , http://dx.doi.org/10.48550/arxiv.2103.12659
,2021, Energy bounds for modular roots and their applications, , http://dx.doi.org/10.48550/arxiv.2103.09405
,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
,2021, On sparsity of representations of polynomials as linear combinations of exponential functions, , http://dx.doi.org/10.48550/arxiv.2102.01949
,2020, A sparsity result for the Dynamical Mordell-Lang Conjecture in positive characteristic, , http://dx.doi.org/10.48550/arxiv.2012.13711
,2020, Two-dimensional Weyl sums failing square-root cancellation along lines, , http://dx.doi.org/10.48550/arxiv.2012.08877
,2020, On a conjecture of Soundararajan, , http://dx.doi.org/10.48550/arxiv.2009.06800
,2020, On the distribution of modular square roots of primes, , http://dx.doi.org/10.48550/arxiv.2009.03460
,2020, On the Dynamical System Generated by the Möbius transformation at Prime Times, , http://dx.doi.org/10.48550/arxiv.2009.01089
,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
,2020, Exponential sums with sparse polynomials over finite fields, , http://dx.doi.org/10.48550/arxiv.2007.14551
,2020, Noisy polynomial interpolation modulo prime powers, , http://dx.doi.org/10.48550/arxiv.2006.05685
,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
,2020, Polynomial Equations in Subgroups and Applications, , http://dx.doi.org/10.48550/arxiv.2005.05315
,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
,2020, New estimates for exponential sums over multiplicative subgroups and intervals in prime fields, , http://dx.doi.org/10.48550/arxiv.2003.06165
,2020, Bounds of Trilinear and Trinomial Exponential Sums, , http://dx.doi.org/10.48550/arxiv.2003.03493
,2020, Hybrid bounds on two-parametric family Weyl sums along smooth curves, , http://dx.doi.org/10.48550/arxiv.2003.02419
,2020, Effective bounds on multiplicatively dependent orbits of integer polynomials modulo S-integers, , http://dx.doi.org/10.48550/arxiv.2001.09721
,2020, On digits of Mersenne numbers, , http://dx.doi.org/10.48550/arxiv.2001.03380
,2019, Restricted mean value theorems and metric theory of restricted Weyl sums, , http://dx.doi.org/10.48550/arxiv.1912.01307
,2019, On oracle factoring of integers, , http://dx.doi.org/10.48550/arxiv.1912.00345
,2019, On a Hybrid Version of the Vinogradov Mean Value Theorem, , http://dx.doi.org/10.48550/arxiv.1910.07329
,2019, Lower bounds for periods of Ducci sequences, , http://dx.doi.org/10.48550/arxiv.1909.04462
,2019, Möbius Randomness Law for Frobenius Traces, , http://dx.doi.org/10.48550/arxiv.1909.00969
,2019, Discriminants of Fields Generated by Polynomials of Given Height, , http://dx.doi.org/10.48550/arxiv.1909.00135
,2019, Bilinear forms in Weyl sums for modular square roots and applications, , http://dx.doi.org/10.48550/arxiv.1908.10143
,2019, Perfect powers in value sets and orbits of polynomials, , http://dx.doi.org/10.48550/arxiv.1907.12057
,2019, Congruences with intervals and arbitrary sets, , http://dx.doi.org/10.48550/arxiv.1907.03943
,2019, Small values of Weyl sums, , http://dx.doi.org/10.48550/arxiv.1907.03101
,2019, Dynamical irreducibility of polynomials modulo primes, , http://dx.doi.org/10.48550/arxiv.1905.11657
,2019, Unlikely intersections over finite fields: polynomial orbits in small subgroups, , http://dx.doi.org/10.48550/arxiv.1904.12621
,2019, Hausdorff dimension of the large values of Weyl sums, , http://dx.doi.org/10.48550/arxiv.1904.04457
,2019, Double Sums of Kloosterman Sums in Finite Fields, , http://dx.doi.org/10.48550/arxiv.1903.10070
,2019, On the distribution of multiplicatively dependent vectors, , http://dx.doi.org/10.48550/arxiv.1903.09796
,2019, New bounds of Weyl sums, , http://dx.doi.org/10.48550/arxiv.1903.07330
,2019, Kloosterman sums with twice-differentiable functions, , http://dx.doi.org/10.48550/arxiv.1902.05989
,2019, On the number of products which form perfect powers and discriminants of multiquadratic extensions, , http://dx.doi.org/10.48550/arxiv.1901.10694
,2019, On Large Values of Weyl Sums, , http://dx.doi.org/10.48550/arxiv.1901.01551
,2018, Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$, , http://dx.doi.org/10.48550/arxiv.1812.08837
,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
,2018, Multiplicative dependence among iterated values of rational functions modulo finitely generated groups, , http://dx.doi.org/10.48550/arxiv.1811.04971
,2018, Codes correcting restricted errors, , http://dx.doi.org/10.48550/arxiv.1811.03375
,2018, Binomial exponential sums, , http://dx.doi.org/10.48550/arxiv.1811.00765
,2018, Smooth squarefree and square-full integers in arithmetic progressions, , http://dx.doi.org/10.48550/arxiv.1810.02573
,2018, Kloosterman paths of prime powers moduli, II, , http://dx.doi.org/10.48550/arxiv.1810.01150
,2018, Value sets of sparse polynomials, , http://dx.doi.org/10.48550/arxiv.1809.02708
,2018, Counting integers with a smooth totient, , http://dx.doi.org/10.48550/arxiv.1809.01214
,2018, On a sum involving the Euler function, , http://dx.doi.org/10.48550/arxiv.1808.00188
,2018, Level curves of rational functions and unimodular points on rational curves, , http://dx.doi.org/10.48550/arxiv.1805.02913
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