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math.NT2021
Large Weyl sums and Hausdorff dimension
Roger C. Baker, Changhao Chen, Igor E. Shparlinski
We obtain the exact value of the Hausdorff dimension of the set of coefficients of Gauss sums which for a given achieve the order at least for infinitely many…
math.NT2021
Bounds on the Norms of Maximal Operators on Weyl Sums
Roger C. Baker, Changhao Chen, Igor E. Shparlinski
We obtain new estimates on the maximal operator applied to the Weyl sums. We also consider the quadratic case (that is, Gauss sums) in more details. In wide ranges of parameters ou…