38 citations · 45 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
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…
Additive energy and a large sieve inequality for sparse sequences
Roger C. Baker, Marc Munsch, Igor E. Shparlinski
We consider the large sieve inequality for sparse sequences of moduli and give a general result depending on the additive energy (both symmetric and asymmetric) of the sequence of…
Smooth numbers in Beatty sequences
Roger Baker
An asymptotic formula is given for the number of y-smooth numbers up to x in a Beatty sequence corresponding to an irrational number of finite type.