Select Publications

Preprints

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

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

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

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

Kerr B; Shparlinski IE; Yau KH, 2019, A refinement of the Burgess bound for character sums, http://dx.doi.org/10.48550/arxiv.1711.10582

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

Chang M-C; Kerr B; Shparlinski IE, 2017, On the exponential large sieve inequality for sparse sequences modulo primes, http://dx.doi.org/10.48550/arxiv.1706.04776

Kerr B; Shparlinski IE, 2012, On the Distribution of Values and Zeros of Polynomial Systems over Arbitrary Sets, http://dx.doi.org/10.48550/arxiv.1210.6721


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